125221262744160 has 720 divisors, whose sum is σ = 492596194106016. Its totient is φ = 29929084416000.

The previous prime is 125221262744131. The next prime is 125221262744251. The reversal of 125221262744160 is 61447262122521.

125221262744160 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 2 + 1 + 2 + 627 + 4 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×125221262744160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110777020 + ... + 111901700.

Almost surely, 2^{125221262744160} is an apocalyptic number.

125221262744160 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 125221262744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246298097053008).

125221262744160 is an abundant number, since it is smaller than the sum of its proper divisors (367374931361856).

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

125221262744160 is a wasteful number, since it uses less digits than its factorization.

125221262744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124801 (or 1124773 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 125221262744160 in words is "one hundred twenty-five trillion, two hundred twenty-one billion, two hundred sixty-two million, seven hundred forty-four thousand, one hundred sixty".