112821350400 has 936 divisors, whose sum is σ = 456326507520. Its totient is φ = 26394624000.

The previous prime is 112821350399. The next prime is 112821350417. The reversal of 112821350400 is 4053128211.

112821350400 is a `hidden beast` number, since 1 + 128 + 2 + 135 + 0 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314265421 + ... + 314265779.

It is an arithmetic number, because the mean of its divisors is an integer number (487528320).

Almost surely, 2^112821350400 is an apocalyptic number.

112821350400 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 112821350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228163253760).

112821350400 is an abundant number, since it is smaller than the sum of its proper divisors (343505157120).

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

112821350400 is a wasteful number, since it uses less digits than its factorization.

112821350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112821350400 its reverse (4053128211), we get a palindrome (116874478611).

The spelling of 112821350400 in words is "one hundred twelve billion, eight hundred twenty-one million, three hundred fifty thousand, four hundred".