234432313120 has 96 divisors (see below), whose sum is σ = 559457403120. Its totient is φ = 92825026560.

The previous prime is 234432313117. The next prime is 234432313169. The reversal of 234432313120 is 21313234432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 117596869776 + 116835443344 = 342924^2 + 341812^2 .

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, 14980500 + ... + 14996140.

Almost surely, 2^234432313120 is an apocalyptic number.

234432313120 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 234432313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279728701560).

234432313120 is an abundant number, since it is smaller than the sum of its proper divisors (325025090000).

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

234432313120 is a wasteful number, since it uses less digits than its factorization.

234432313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16598 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 234432313120 its reverse (21313234432), we get a palindrome (255745547552).

The spelling of 234432313120 in words is "two hundred thirty-four billion, four hundred thirty-two million, three hundred thirteen thousand, one hundred twenty".