112132112400 has 480 divisors, whose sum is σ = 497591961600. Its totient is φ = 23300006400.

The previous prime is 112132112383. The next prime is 112132112419. The reversal of 112132112400 is 4211231211.

112132112400 is a `hidden beast` number, since 1 + 1 + 213 + 211 + 240 + 0 = 666.

It is a super-2 number, since 2×112132112400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764181 + ... + 899019.

It is an arithmetic number, because the mean of its divisors is an integer number (1036649920).

Almost surely, 2^112132112400 is an apocalyptic number.

112132112400 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 112132112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248795980800).

112132112400 is an abundant number, since it is smaller than the sum of its proper divisors (385459849200).

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

112132112400 is a wasteful number, since it uses less digits than its factorization.

112132112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134884 (or 134867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112132112400 its reverse (4211231211), we get a palindrome (116343343611).

The spelling of 112132112400 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred twelve thousand, four hundred".