125963712 has 126 divisors (see below), whose sum is σ = 420093648. Its totient is φ = 35981568.

The previous prime is 125963701. The next prime is 125963723. The reversal of 125963712 is 217369521.

125963712 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 637 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (125963701) and next prime (125963723).

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25993 + ... + 30455.

Almost surely, 2^125963712 is an apocalyptic number.

125963712 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 125963712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210046824).

125963712 is an abundant number, since it is smaller than the sum of its proper divisors (294129936).

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

125963712 is a wasteful number, since it uses less digits than its factorization.

125963712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4475 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 125963712 is about 11223.3556479335. The cubic root of 125963712 is about 501.2816612153.

The spelling of 125963712 in words is "one hundred twenty-five million, nine hundred sixty-three thousand, seven hundred twelve".