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12100111112112 = 2431325231902203
BaseRepresentation
bin1011000000010100011011…
…0100110001011110110000
31120211202111112210112012120
42300011012310301132300
53041222011421041422
641422414142354240
72356130014304022
oct260050664613660
946752445715176
1012100111112112
1139456a03010a1
1214350ba88b980
1369a06023392a
142db9116c4012
1515eb41ca745c
hexb0146d317b0

12100111112112 has 40 divisors (see below), whose sum is σ = 31258872679104. Its totient is φ = 4033337815104.

The previous prime is 12100111112087. The next prime is 12100111112137. The reversal of 12100111112112 is 21121111100121.

It is an interprime number because it is at equal distance from previous prime (12100111112087) and next prime (12100111112137).

It is a super-3 number, since 3×121001111121123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100111112091 and 12100111112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5410003 + ... + 7312205.

Almost surely, 212100111112112 is an apocalyptic number.

12100111112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100111112112 is an abundant number, since it is smaller than the sum of its proper divisors (19158761566992).

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

12100111112112 is a wasteful number, since it uses less digits than its factorization.

12100111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034737 (or 2034731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12100111112112 its reverse (21121111100121), we get a palindrome (33221222212233).

The spelling of 12100111112112 in words is "twelve trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 132523 265046 397569 530092 795138 1060184 1590276 1902203 2120368 3180552 3804406 5706609 6361104 7608812 11413218 15217624 22826436 30435248 45652872 91305744 252085648169 504171296338 756256944507 1008342592676 1512513889014 2016685185352 3025027778028 4033370370704 6050055556056 12100111112112