233233113120 has 96 divisors (see below), whose sum is σ = 839639219328. Its totient is φ = 53310425088.

The previous prime is 233233113119. The next prime is 233233113193. The reversal of 233233113120 is 21311332332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233233113120² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34703949 + ... + 34710668.

It is an arithmetic number, because the mean of its divisors is an integer number (8746241868).

Almost surely, 2^233233113120 is an apocalyptic number.

233233113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233233113120 is an abundant number, since it is smaller than the sum of its proper divisors (606406106208).

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

233233113120 is a wasteful number, since it uses less digits than its factorization.

233233113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69414642 (or 69414634 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233233113120 its reverse (21311332332), we get a palindrome (254544445452).

The spelling of 233233113120 in words is "two hundred thirty-three billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".