112231002400 has 288 divisors, whose sum is σ = 315879782400. Its totient is φ = 38537241600.

The previous prime is 112231002341. The next prime is 112231002409. The reversal of 112231002400 is 4200132211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112231002409) 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, 15986091 + ... + 15993109.

It is an arithmetic number, because the mean of its divisors is an integer number (1096804800).

Almost surely, 2^112231002400 is an apocalyptic number.

112231002400 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 112231002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157939891200).

112231002400 is an abundant number, since it is smaller than the sum of its proper divisors (203648780000).

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

112231002400 is a wasteful number, since it uses less digits than its factorization.

112231002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112231002400 its reverse (4200132211), we get a palindrome (116431134611).

The spelling of 112231002400 in words is "one hundred twelve billion, two hundred thirty-one million, two thousand, four hundred".