234413125123200 has 96 divisors (see below), whose sum is σ = 772098230906160. Its totient is φ = 62510166696960.

The previous prime is 234413125123189. The next prime is 234413125123201. The reversal of 234413125123200 is 2321521314432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (234413125123201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12209007334 + ... + 12209026533.

Almost surely, 2^{234413125123200} is an apocalyptic number.

234413125123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234413125123200 is an abundant number, since it is smaller than the sum of its proper divisors (537685105782960).

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

234413125123200 is a wasteful number, since it uses less digits than its factorization.

234413125123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24418033894 (or 24418033877 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 234413125123200 its reverse (2321521314432), we get a palindrome (236734646437632).

The spelling of 234413125123200 in words is "two hundred thirty-four trillion, four hundred thirteen billion, one hundred twenty-five million, one hundred twenty-three thousand, two hundred".