3100112112000 has 256 divisors, whose sum is σ = 10881396377280. Its totient is φ = 778067148800.

The previous prime is 3100112111939. The next prime is 3100112112061. The reversal of 3100112112000 is 2112110013.

It is an interprime number because it is at equal distance from previous prime (3100112111939) and next prime (3100112112061).

It is a super-2 number, since 2×3100112112000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083579 + ... + 2715578.

Almost surely, 2^{3100112112000} is an apocalyptic number.

3100112112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3100112112000 is an abundant number, since it is smaller than the sum of its proper divisors (7781284265280).

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

3100112112000 is a wasteful number, since it uses less digits than its factorization.

3100112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799206 (or 3799184 counting only the distinct ones).

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

Adding to 3100112112000 its reverse (2112110013), we get a palindrome (3102224222013).

The spelling of 3100112112000 in words is "three trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand".