125452414231200 has 432 divisors, whose sum is σ = 510578925607296. Its totient is φ = 28390927104000.

The previous prime is 125452414231139. The next prime is 125452414231217. The reversal of 125452414231200 is 2132414254521.

125452414231200 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 5 + 2 + 414 + 2 + 31 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7232052 + ... + 17412851.

It is an arithmetic number, because the mean of its divisors is an integer number (1181895661128).

Almost surely, 2^{125452414231200} is an apocalyptic number.

125452414231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125452414231200 is an abundant number, since it is smaller than the sum of its proper divisors (385126511376096).

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

125452414231200 is a wasteful number, since it uses less digits than its factorization.

125452414231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24645037 (or 24645021 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 125452414231200 its reverse (2132414254521), we get a palindrome (127584828485721).

The spelling of 125452414231200 in words is "one hundred twenty-five trillion, four hundred fifty-two billion, four hundred fourteen million, two hundred thirty-one thousand, two hundred".