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121011210012120 = 23355214289945119
BaseRepresentation
bin11011100000111100011110…
…001011111100010111011000
3120212110120002021211002010120
4123200330132023330113120
5111330121424230341440
61105211441000513240
734326525410363241
oct3340743613742730
9525416067732116
10121011210012120
113561562532912a
12116a494947b820
13526a400ca137c
1421c4d8c213cc8
15decba50e1dd0
hex6e0f1e2fc5d8

121011210012120 has 128 divisors (see below), whose sum is σ = 363746972160000. Its totient is φ = 32206253480960.

The previous prime is 121011210012107. The next prime is 121011210012191. The reversal of 121011210012120 is 21210012110121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121011210012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682022921 + ... + 2682068039.

It is an arithmetic number, because the mean of its divisors is an integer number (2841773220000).

Almost surely, 2121011210012120 is an apocalyptic number.

121011210012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011210012120 is an abundant number, since it is smaller than the sum of its proper divisors (242735762147880).

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

121011210012120 is a wasteful number, since it uses less digits than its factorization.

121011210012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88553 (or 88549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121011210012120 its reverse (21210012110121), we get a palindrome (142221222122241).

The spelling of 121011210012120 in words is "one hundred twenty-one trillion, eleven billion, two hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 521 1042 1563 2084 2605 3126 4168 5210 6252 7815 10420 12504 15630 20840 31260 42899 45119 62520 85798 90238 128697 135357 171596 180476 214495 225595 257394 270714 343192 360952 428990 451190 514788 541428 643485 676785 857980 902380 1029576 1082856 1286970 1353570 1715960 1804760 2573940 2707140 5147880 5414280 22350379 23506999 44700758 47013998 67051137 70520997 89401516 94027996 111751895 117534995 134102274 141041994 178803032 188055992 223503790 235069990 268204548 282083988 335255685 352604985 447007580 470139980 536409096 564167976 670511370 705209970 894015160 940279960 1341022740 1410419940 1935559981 2682045480 2820839880 3871119962 5806679943 7742239924 9677799905 11613359886 15484479848 19355599810 23226719772 29033399715 38711199620 46453439544 58066799430 77422399240 116133598860 232267197720 1008426750101 2016853500202 3025280250303 4033707000404 5042133750505 6050560500606 8067414000808 10084267501010 12101121001212 15126401251515 20168535002020 24202242002424 30252802503030 40337070004040 60505605006060 121011210012120