125871200 has 324 divisors, whose sum is σ = 407434860. Its totient is φ = 37739520.

The previous prime is 125871197. The next prime is 125871211. The reversal of 125871200 is 2178521.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 125871200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6624791 + ... + 6624809.

It is an arithmetic number, because the mean of its divisors is an integer number (1257515).

Almost surely, 2^125871200 is an apocalyptic number.

125871200 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 125871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203717430).

125871200 is an abundant number, since it is smaller than the sum of its proper divisors (281563660).

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

125871200 is a wasteful number, since it uses less digits than its factorization.

125871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 125871200 is about 11219.2334854035. The cubic root of 125871200 is about 501.1589117717.

The spelling of 125871200 in words is "one hundred twenty-five million, eight hundred seventy-one thousand, two hundred".