120233113200 has 360 divisors, whose sum is σ = 429778589136. Its totient is φ = 31104000000.

The previous prime is 120233113193. The next prime is 120233113219. The reversal of 120233113200 is 2311332021.

120233113200 is a `hidden beast` number, since 1 + 202 + 331 + 132 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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, 53412075 + ... + 53414325.

Almost surely, 2^120233113200 is an apocalyptic number.

120233113200 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 120233113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214889294568).

120233113200 is an abundant number, since it is smaller than the sum of its proper divisors (309545475936).

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

120233113200 is a wasteful number, since it uses less digits than its factorization.

120233113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120233113200 its reverse (2311332021), we get a palindrome (122544445221).

The spelling of 120233113200 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".