234013510120 has 256 divisors, whose sum is σ = 603810547200. Its totient is φ = 80964956160.

The previous prime is 234013510099. The next prime is 234013510139. The reversal of 234013510120 is 21015310432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234013510091 and 234013510100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381750934 + ... + 381751546.

It is an arithmetic number, because the mean of its divisors is an integer number (2358634950).

Almost surely, 2^234013510120 is an apocalyptic number.

234013510120 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 234013510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301905273600).

234013510120 is an abundant number, since it is smaller than the sum of its proper divisors (369797037080).

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

234013510120 is a wasteful number, since it uses less digits than its factorization.

234013510120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 234013510120 its reverse (21015310432), we get a palindrome (255028820552).

The spelling of 234013510120 in words is "two hundred thirty-four billion, thirteen million, five hundred ten thousand, one hundred twenty".