112333214400 has 672 divisors, whose sum is σ = 422393107968. Its totient is φ = 25871155200.

The previous prime is 112333214369. The next prime is 112333214407. The reversal of 112333214400 is 4412333211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112333214407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282955002 + ... + 282955398.

Almost surely, 2^112333214400 is an apocalyptic number.

112333214400 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 112333214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196553984).

112333214400 is an abundant number, since it is smaller than the sum of its proper divisors (310059893568).

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

112333214400 is a wasteful number, since it uses less digits than its factorization.

112333214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112333214400 its reverse (4412333211), we get a palindrome (116745547611).

The spelling of 112333214400 in words is "one hundred twelve billion, three hundred thirty-three million, two hundred fourteen thousand, four hundred".