126124080 has 40 divisors (see below), whose sum is σ = 390985392. Its totient is φ = 33633024.

The previous prime is 126124079. The next prime is 126124087. The reversal of 126124080 is 80421621.

It is a tau number, because it is divible by the number of its divisors (40).

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 126124080.

It is not an unprimeable number, because it can be changed into a prime (126124087) 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, 262519 + ... + 262998.

Almost surely, 2^126124080 is an apocalyptic number.

126124080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126124080 is an abundant number, since it is smaller than the sum of its proper divisors (264861312).

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

126124080 is a wasteful number, since it uses less digits than its factorization.

126124080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525533 (or 525527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 126124080 is about 11230.4977627886. The cubic root of 126124080 is about 501.4943030015.

The spelling of 126124080 in words is "one hundred twenty-six million, one hundred twenty-four thousand, eighty".