126322920 has 96 divisors (see below), whose sum is σ = 434720520. Its totient is φ = 31703040.

The previous prime is 126322919. The next prime is 126322961. The reversal of 126322920 is 29223621.

126322920 is a `hidden beast` number, since 1 + 2 + 632 + 2 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96707556 + 29615364 = 9834^2 + 5442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4201 + ... + 16440.

Almost surely, 2^126322920 is an apocalyptic number.

126322920 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 126322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217360260).

126322920 is an abundant number, since it is smaller than the sum of its proper divisors (308397600).

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

126322920 is a wasteful number, since it uses less digits than its factorization.

126322920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126322920 is about 11239.3469561180. The cubic root of 126322920 is about 501.7577070247.

The spelling of 126322920 in words is "one hundred twenty-six million, three hundred twenty-two thousand, nine hundred twenty".