112302590400 has 2688 divisors, whose sum is σ = 571463424000. Its totient is φ = 21134131200.

The previous prime is 112302590381. The next prime is 112302590431. The reversal of 112302590400 is 4095203211.

112302590400 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 259 + 0 + 400 = 666.

It is a super-2 number, since 2×112302590400² (a number of 23 digits) contains 22 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 383 ways as a sum of consecutive naturals, for example, 2118916774 + ... + 2118916826.

It is an arithmetic number, because the mean of its divisors is an integer number (212598000).

Almost surely, 2^112302590400 is an apocalyptic number.

112302590400 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 112302590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712000).

112302590400 is an abundant number, since it is smaller than the sum of its proper divisors (459160833600).

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

112302590400 is a wasteful number, since it uses less digits than its factorization.

112302590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 112302590400 its reverse (4095203211), we get a palindrome (116397793611).

The spelling of 112302590400 in words is "one hundred twelve billion, three hundred two million, five hundred ninety thousand, four hundred".