112131120313200 has 240 divisors, whose sum is σ = 368199620680320. Its totient is φ = 29154361635840.

The previous prime is 112131120313159. The next prime is 112131120313207. The reversal of 112131120313200 is 2313021131211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131120313207) 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, 27120886 + ... + 30980714.

It is an arithmetic number, because the mean of its divisors is an integer number (1534165086168).

Almost surely, 2^{112131120313200} is an apocalyptic number.

112131120313200 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 112131120313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184099810340160).

112131120313200 is an abundant number, since it is smaller than the sum of its proper divisors (256068500367120).

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

112131120313200 is a wasteful number, since it uses less digits than its factorization.

112131120313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860456 (or 3860445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 112131120313200 its reverse (2313021131211), we get a palindrome (114444141444411).

The spelling of 112131120313200 in words is "one hundred twelve trillion, one hundred thirty-one billion, one hundred twenty million, three hundred thirteen thousand, two hundred".