232113120 has 192 divisors, whose sum is σ = 795432960. Its totient is φ = 56678400.

The previous prime is 232113103. The next prime is 232113127. The reversal of 232113120 is 21311232.

It is a super-2 number, since 2×232113120² = 107753000952268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282310 + ... + 283130.

It is an arithmetic number, because the mean of its divisors is an integer number (4142880).

Almost surely, 2^232113120 is an apocalyptic number.

232113120 is a gapful number since it is divisible by the number (20) 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 232113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397716480).

232113120 is an abundant number, since it is smaller than the sum of its proper divisors (563319840).

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

232113120 is a wasteful number, since it uses less digits than its factorization.

232113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 232113120 is about 15235.2591051153. The cubic root of 232113120 is about 614.5632168640.

Adding to 232113120 its reverse (21311232), we get a palindrome (253424352).

The spelling of 232113120 in words is "two hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".