125611397683200 has 1728 divisors, whose sum is σ = 529468039376640. Its totient is φ = 28057632768000.

The previous prime is 125611397683181. The next prime is 125611397683231. The reversal of 125611397683200 is 2386793116521.

It is a happy number.

125611397683200 is a `hidden beast` number, since 1 + 2 + 561 + 1 + 3 + 9 + 76 + 8 + 3 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45005873805 + ... + 45005876595.

It is an arithmetic number, because the mean of its divisors is an integer number (306405115380).

Almost surely, 2^{125611397683200} is an apocalyptic number.

125611397683200 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 125611397683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264734019688320).

125611397683200 is an abundant number, since it is smaller than the sum of its proper divisors (403856641693440).

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

125611397683200 is a wasteful number, since it uses less digits than its factorization.

125611397683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 125611397683200 in words is "one hundred twenty-five trillion, six hundred eleven billion, three hundred ninety-seven million, six hundred eighty-three thousand, two hundred".