125811126900 has 54 divisors (see below), whose sum is σ = 394347990582. Its totient is φ = 33549633600.

The previous prime is 125811126893. The next prime is 125811126901. The reversal of 125811126900 is 9621118521.

125811126900 is a `hidden beast` number, since 1 + 2 + 581 + 1 + 12 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23155344 + 125787971556 = 4812^2 + 354666^2 .

It is a super-2 number, since 2×125811126900² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125811126901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69894171 + ... + 69895970.

Almost surely, 2^125811126900 is an apocalyptic number.

125811126900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125811126900 is an abundant number, since it is smaller than the sum of its proper divisors (268536863682).

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

125811126900 is a wasteful number, since it uses less digits than its factorization.

125811126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139790161 (or 139790151 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 125811126900 in words is "one hundred twenty-five billion, eight hundred eleven million, one hundred twenty-six thousand, nine hundred".