234413124120 has 256 divisors, whose sum is σ = 893490048000. Its totient is φ = 53550885888.

The previous prime is 234413124059. The next prime is 234413124157. The reversal of 234413124120 is 21421314432.

234413124120 is a `hidden beast` number, since 2 + 3 + 4 + 413 + 1 + 241 + 2 + 0 = 666.

234413124120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 15785419 + ... + 15800261.

It is an arithmetic number, because the mean of its divisors is an integer number (3490195500).

Almost surely, 2^234413124120 is an apocalyptic number.

234413124120 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 234413124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446745024000).

234413124120 is an abundant number, since it is smaller than the sum of its proper divisors (659076923880).

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

234413124120 is a wasteful number, since it uses less digits than its factorization.

234413124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234413124120 its reverse (21421314432), we get a palindrome (255834438552).

The spelling of 234413124120 in words is "two hundred thirty-four billion, four hundred thirteen million, one hundred twenty-four thousand, one hundred twenty".