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112121012003121 = 321111872287417191
BaseRepresentation
bin11001011111100100110101…
…000101111010000100110001
3112200222122221002211022212200
4121133210311011322010301
5104143442313033044441
61034243403140013413
732421322125212502
oct3137446505720461
9480878832738780
10112121012003121
11327a8288318010
12106a9978091269
134a73c735a05b4
141d989862caba9
15ce67d14487b6
hex65f93517a131

112121012003121 has 48 divisors (see below), whose sum is σ = 176902117337088. Its totient is φ = 67865031554400.

The previous prime is 112121012003111. The next prime is 112121012003129. The reversal of 112121012003121 is 121300210121211.

It is a happy number.

112121012003121 is a `hidden beast` number, since 1 + 1 + 21 + 210 + 120 + 0 + 312 + 1 = 666.

It is not a de Polignac number, because 112121012003121 - 29 = 112121012002609 is a prime.

It is a super-2 number, since 2×1121210120031212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121012003094 and 112121012003103.

It is not an unprimeable number, because it can be changed into a prime (112121012003129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268543636 + ... + 268960826.

It is an arithmetic number, because the mean of its divisors is an integer number (3685460777856).

Almost surely, 2112121012003121 is an apocalyptic number.

112121012003121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121012003121 is a deficient number, since it is larger than the sum of its proper divisors (64781105333967).

112121012003121 is a wasteful number, since it uses less digits than its factorization.

112121012003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420682 (or 420679 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112121012003121 its reverse (121300210121211), we get a palindrome (233421222124332).

The spelling of 112121012003121 in words is "one hundred twelve trillion, one hundred twenty-one billion, twelve million, three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 1187 2287 3561 6861 10683 13057 20583 25157 39171 75471 117513 226413 417191 1251573 2714669 3754719 4589101 8144007 13767303 24432021 29861359 41301909 89584077 268752231 495205717 954115817 1485617151 2862347451 4456851453 5447262887 8587042353 10495273987 16341788661 31485821961 49025365983 94457465883 1132535474779 3397606424337 10192819273011 12457890222569 37373670667707 112121012003121