125286912000 has 1248 divisors, whose sum is σ = 502327163520. Its totient is φ = 31054233600.

The previous prime is 125286911993. The next prime is 125286912007. The reversal of 125286912000 is 219682521.

125286912000 is a `hidden beast` number, since 1 + 2 + 528 + 6 + 9 + 120 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125286911993) and next prime (125286912007).

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 (125286912007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363903974 + ... + 2363904026.

It is an arithmetic number, because the mean of its divisors is an integer number (402505740).

Almost surely, 2^125286912000 is an apocalyptic number.

125286912000 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 125286912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251163581760).

125286912000 is an abundant number, since it is smaller than the sum of its proper divisors (377040251520).

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

125286912000 is an frugal number, since it uses more digits than its factorization.

125286912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 125286912000 in words is "one hundred twenty-five billion, two hundred eighty-six million, nine hundred twelve thousand".