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121022220021000 = 2335378795120033
BaseRepresentation
bin11011100001000110101110…
…011011110010110100001000
3120212111121111121002110222020
4123201012232123302310020
5111330312001311133000
61105220501303324440
734330365301043424
oct3341065633626410
9525447447073866
10121022220021000
113561a265182821
12116a6b00750720
13526b466cc161c
1421c571456bb84
15ded0eb9abba0
hex6e11ae6f2d08

121022220021000 has 128 divisors (see below), whose sum is σ = 377637323731200. Its totient is φ = 32268489676800.

The previous prime is 121022220020971. The next prime is 121022220021019. The reversal of 121022220021000 is 120022220121.

It is a super-2 number, since 2×1210222200210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21076984 + ... + 26197016.

It is an arithmetic number, because the mean of its divisors is an integer number (2950291591650).

Almost surely, 2121022220021000 is an apocalyptic number.

121022220021000 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 121022220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188818661865600).

121022220021000 is an abundant number, since it is smaller than the sum of its proper divisors (256615103710200).

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

121022220021000 is a wasteful number, since it uses less digits than its factorization.

121022220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127936 (or 5127922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121022220021000 its reverse (120022220121), we get a palindrome (121142242241121).

The spelling of 121022220021000 in words is "one hundred twenty-one trillion, twenty-two billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7879 15758 23637 31516 39395 47274 63032 78790 94548 118185 157580 189096 196975 236370 315160 393950 472740 590925 787900 945480 984875 1181850 1575800 1969750 2363700 2954625 3939500 4727400 5120033 5909250 7879000 10240066 11818500 15360099 20480132 23637000 25600165 30720198 40960264 51200330 61440396 76800495 102400660 122880792 128000825 153600990 204801320 256001650 307201980 384002475 512003300 614403960 640004125 768004950 1024006600 1280008250 1536009900 1920012375 2560016500 3072019800 3840024750 5120033000 7680049500 15360099000 40340740007 80681480014 121022220021 161362960028 201703700035 242044440042 322725920056 403407400070 484088880084 605111100105 806814800140 968177760168 1008518500175 1210222200210 1613629600280 2017037000350 2420444400420 3025555500525 4034074000700 4840888800840 5042592500875 6051111001050 8068148001400 10085185001750 12102222002100 15127777502625 20170370003500 24204444004200 30255555005250 40340740007000 60511110010500 121022220021000