125221662720 has 1664 divisors, whose sum is σ = 591073044480. Its totient is φ = 24347934720.

The previous prime is 125221662689. The next prime is 125221662721. The reversal of 125221662720 is 27266122521.

125221662720 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 2 + 1 + 6 + 627 + 20 = 666.

It is a super-2 number, since 2×125221662720² (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 (125221662721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 723824554 + ... + 723824726.

Almost surely, 2^125221662720 is an apocalyptic number.

125221662720 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 125221662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295536522240).

125221662720 is an abundant number, since it is smaller than the sum of its proper divisors (465851381760).

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

125221662720 is a wasteful number, since it uses less digits than its factorization.

125221662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 125221662720 in words is "one hundred twenty-five billion, two hundred twenty-one million, six hundred sixty-two thousand, seven hundred twenty".