232129413120 has 480 divisors, whose sum is σ = 858153574656. Its totient is φ = 52953088000.

The previous prime is 232129413119. The next prime is 232129413133. The reversal of 232129413120 is 21314921232.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45954595 + ... + 45959645.

Almost surely, 2^232129413120 is an apocalyptic number.

232129413120 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 232129413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429076787328).

232129413120 is an abundant number, since it is smaller than the sum of its proper divisors (626024161536).

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

232129413120 is a wasteful number, since it uses less digits than its factorization.

232129413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 232129413120 in words is "two hundred thirty-two billion, one hundred twenty-nine million, four hundred thirteen thousand, one hundred twenty".