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121022120120220 = 2232511488912502001
BaseRepresentation
bin11011100001000110101000…
…011110101100111110011100
3120212111121020122002222212100
4123201012220132230332130
5111330311300222321340
61105220443334205100
734330362645643464
oct3341065036547634
9525447218088770
10121022120120220
113561a2138498a0
12116a6a931b3790
13526b44c3b4037
1421c57051a4ba4
15ded0e2d26830
hex6e11a87acf9c

121022120120220 has 144 divisors (see below), whose sum is σ = 400555142638560. Its totient is φ = 29332692480000.

The previous prime is 121022120120207. The next prime is 121022120120257. The reversal of 121022120120220 is 22021021220121.

It is a happy number.

121022120120220 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 221 + 201 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121022120120193 and 121022120120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3429220 + ... + 15931220.

It is an arithmetic number, because the mean of its divisors is an integer number (2781632934990).

Almost surely, 2121022120120220 is an apocalyptic number.

121022120120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022120120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200277571319280).

121022120120220 is an abundant number, since it is smaller than the sum of its proper divisors (279533022518340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022120120220 is a wasteful number, since it uses less digits than its factorization.

121022120120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506916 (or 12506911 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121022120120220 its reverse (22021021220121), we get a palindrome (143043141340341).

The spelling of 121022120120220 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4889 9778 14667 19556 24445 29334 44001 48890 53779 58668 73335 88002 97780 107558 146670 161337 176004 215116 220005 268895 293340 322674 440010 484011 537790 645348 806685 880020 968022 1075580 1613370 1936044 2420055 3226740 4840110 9680220 12502001 25004002 37506003 50008004 62510005 75012006 112518009 125020010 137522011 150024012 187530015 225036018 250040020 275044022 375060030 412566033 450072036 550088044 562590045 687610055 750120060 825132066 1125180090 1237698099 1375220110 1650264132 2062830165 2250360180 2475396198 2750440220 4125660330 4950792396 6188490495 8251320660 12376980990 24753961980 61122282889 122244565778 183366848667 244489131556 305611414445 366733697334 550100546001 611222828890 672345111779 733467394668 916834243335 1100201092002 1222445657780 1344690223558 1833668486670 2017035335337 2200402184004 2689380447116 2750502730005 3361725558895 3667336973340 4034070670674 5501005460010 6051106006011 6723451117790 8068141341348 10085176676685 11002010920020 12102212012022 13446902235580 20170353353370 24204424024044 30255530030055 40340706706740 60511060060110 121022120120220