125542232225200 has 240 divisors, whose sum is σ = 347480724532480. Its totient is φ = 42696740736000.

The previous prime is 125542232225197. The next prime is 125542232225237. The reversal of 125542232225200 is 2522232245521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 125542232225200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455615470 + ... + 455890930.

Almost surely, 2^{125542232225200} is an apocalyptic number.

125542232225200 is a gapful number since it is divisible by the number (10) 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 125542232225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173740362266240).

125542232225200 is an abundant number, since it is smaller than the sum of its proper divisors (221938492307280).

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

125542232225200 is a wasteful number, since it uses less digits than its factorization.

125542232225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276796 (or 276785 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 125542232225200 in words is "one hundred twenty-five trillion, five hundred forty-two billion, two hundred thirty-two million, two hundred twenty-five thousand, two hundred".