125220480 has 384 divisors, whose sum is σ = 510701760. Its totient is φ = 26019840.

The previous prime is 125220449. The next prime is 125220497. The reversal of 125220480 is 84022521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×125220480² = 31360337222860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125220480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11383675 + ... + 11383685.

Almost surely, 2^125220480 is an apocalyptic number.

125220480 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 125220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255350880).

125220480 is an abundant number, since it is smaller than the sum of its proper divisors (385481280).

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

125220480 is an equidigital number, since it uses as much as digits as its factorization.

125220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 125220480 is about 11190.1957087443. The cubic root of 125220480 is about 500.2938006619.

The spelling of 125220480 in words is "one hundred twenty-five million, two hundred twenty thousand, four hundred eighty".