126129920 has 108 divisors (see below), whose sum is σ = 351621144. Its totient is φ = 43223040.

The previous prime is 126129901. The next prime is 126129931. The reversal of 126129920 is 29921621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61715 + ... + 63725.

Almost surely, 2^126129920 is an apocalyptic number.

126129920 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 126129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175810572).

126129920 is an abundant number, since it is smaller than the sum of its proper divisors (225491224).

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

126129920 is an equidigital number, since it uses as much as digits as its factorization.

126129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 126129920 is about 11230.7577660637. The cubic root of 126129920 is about 501.5020432140.

The spelling of 126129920 in words is "one hundred twenty-six million, one hundred twenty-nine thousand, nine hundred twenty".