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12100112112 = 2431122916879
BaseRepresentation
bin10110100010011100…
…10000111011110000
31011020021111101100110
423101032100323300
5144240112041422
65320403221320
7605565153534
oct132116207360
934207441313
1012100112112
11514a21a360
122418377840
1311aab1736a
1482b03bbc4
154ac44860c
hex2d1390ef0

12100112112 has 40 divisors (see below), whose sum is σ = 34100317440. Its totient is φ = 3666700480.

The previous prime is 12100112093. The next prime is 12100112137. The reversal of 12100112112 is 21121100121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11457912 + ... + 11458967.

It is an arithmetic number, because the mean of its divisors is an integer number (852507936).

Almost surely, 212100112112 is an apocalyptic number.

12100112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100112112 is an abundant number, since it is smaller than the sum of its proper divisors (22000205328).

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

12100112112 is a wasteful number, since it uses less digits than its factorization.

12100112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22916901 (or 22916895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100112112 its reverse (21121100121), we get a palindrome (33221212233).

The spelling of 12100112112 in words is "twelve billion, one hundred million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 22916879 45833758 68750637 91667516 137501274 183335032 252085669 275002548 366670064 504171338 550005096 756257007 1008342676 1100010192 1512514014 2016685352 3025028028 4033370704 6050056056 12100112112