112912531200 has 1728 divisors, whose sum is σ = 529216128000. Its totient is φ = 23011983360.

The previous prime is 112912531187. The next prime is 112912531241. The reversal of 112912531200 is 2135219211.

112912531200 is a `hidden beast` number, since 1 + 1 + 291 + 253 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-4 number, since 4×112912531200⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5942764791 + ... + 5942764809.

Almost surely, 2^112912531200 is an apocalyptic number.

112912531200 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 112912531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264608064000).

112912531200 is an abundant number, since it is smaller than the sum of its proper divisors (416303596800).

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

112912531200 is an equidigital number, since it uses as much as digits as its factorization.

112912531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 112912531200 in words is "one hundred twelve billion, nine hundred twelve million, five hundred thirty-one thousand, two hundred".