125121280 has 72 divisors (see below), whose sum is σ = 301694400. Its totient is φ = 49717248.

The previous prime is 125121263. The next prime is 125121281. The reversal of 125121280 is 82121521.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125121281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305716 + ... + 306124.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2^125121280 is an apocalyptic number.

125121280 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 125121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847200).

125121280 is an abundant number, since it is smaller than the sum of its proper divisors (176573120).

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

125121280 is an equidigital number, since it uses as much as digits as its factorization.

125121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 125121280 is about 11185.7623790245. The cubic root of 125121280 is about 500.1616543967.

The spelling of 125121280 in words is "one hundred twenty-five million, one hundred twenty-one thousand, two hundred eighty".