125262847872 has 320 divisors, whose sum is σ = 403133163840. Its totient is φ = 38459473920.

The previous prime is 125262847867. The next prime is 125262847877. The reversal of 125262847872 is 278748262521.

It is a happy number.

125262847872 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 628 + 4 + 7 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125262847867) and next prime (125262847877).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125262847877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8276472 + ... + 8291592.

It is an arithmetic number, because the mean of its divisors is an integer number (1259791137).

Almost surely, 2^125262847872 is an apocalyptic number.

125262847872 is a gapful number since it is divisible by the number (12) 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 125262847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201566581920).

125262847872 is an abundant number, since it is smaller than the sum of its proper divisors (277870315968).

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

125262847872 is a wasteful number, since it uses less digits than its factorization.

125262847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15211 (or 15190 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 125262847872 in words is "one hundred twenty-five billion, two hundred sixty-two million, eight hundred forty-seven thousand, eight hundred seventy-two".