126921120 has 96 divisors (see below), whose sum is σ = 404429760. Its totient is φ = 33454080.

The previous prime is 126921097. The next prime is 126921173. The reversal of 126921120 is 21129621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126921120² = 32217941404108800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41235 + ... + 44205.

It is an arithmetic number, because the mean of its divisors is an integer number (4212810).

Almost surely, 2^126921120 is an apocalyptic number.

126921120 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 126921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202214880).

126921120 is an abundant number, since it is smaller than the sum of its proper divisors (277508640).

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

126921120 is a wasteful number, since it uses less digits than its factorization.

126921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3070 counting only the distinct ones).

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

The square root of 126921120 is about 11265.9273919194. The cubic root of 126921120 is about 502.5484817459.

The spelling of 126921120 in words is "one hundred twenty-six million, nine hundred twenty-one thousand, one hundred twenty".