125811312200 has 108 divisors (see below), whose sum is σ = 340363241865. Its totient is φ = 43123268160.

The previous prime is 125811312169. The next prime is 125811312229. The reversal of 125811312200 is 2213118521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 123295085956 + 2516226244 = 351134^2 + 50162^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=250810.

It is a self number, because there is not a number n which added to its sum of digits gives 125811312200.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35111609 + ... + 35115191.

Almost surely, 2^125811312200 is an apocalyptic number.

125811312200 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 125811312200

125811312200 is an abundant number, since it is smaller than the sum of its proper divisors (214551929665).

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

125811312200 is an frugal number, since it uses more digits than its factorization.

125811312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The spelling of 125811312200 in words is "one hundred twenty-five billion, eight hundred eleven million, three hundred twelve thousand, two hundred".