112312113430000 has 200 divisors, whose sum is σ = 296669802274560. Its totient is φ = 40836493920000.

The previous prime is 112312113429911. The next prime is 112312113430009. The reversal of 112312113430000 is 34311213211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×112312113430000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312113430009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1166721871 + ... + 1166818129.

Almost surely, 2^{112312113430000} is an apocalyptic number.

112312113430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312113430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148334901137280).

112312113430000 is an abundant number, since it is smaller than the sum of its proper divisors (184357688844560).

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

112312113430000 is a wasteful number, since it uses less digits than its factorization.

112312113430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106905 (or 106884 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 112312113430000 its reverse (34311213211), we get a palindrome (112346424643211).

The spelling of 112312113430000 in words is "one hundred twelve trillion, three hundred twelve billion, one hundred thirteen million, four hundred thirty thousand".