126121920 has 112 divisors (see below), whose sum is σ = 405749760. Its totient is φ = 33186816.

The previous prime is 126121901. The next prime is 126122039. The reversal of 126121920 is 29121621.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 75009 + ... + 76671.

Almost surely, 2^126121920 is an apocalyptic number.

126121920 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 126121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202874880).

126121920 is an abundant number, since it is smaller than the sum of its proper divisors (279627840).

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

126121920 is a wasteful number, since it uses less digits than its factorization.

126121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 126121920 is about 11230.4015956688. The cubic root of 126121920 is about 501.4914401227.

The spelling of 126121920 in words is "one hundred twenty-six million, one hundred twenty-one thousand, nine hundred twenty".