126120960 has 528 divisors, whose sum is σ = 551805696. Its totient is φ = 25952256.

The previous prime is 126120959. The next prime is 126120991. The reversal of 126120960 is 69021621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5483509 + ... + 5483531.

Almost surely, 2^126120960 is an apocalyptic number.

126120960 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 126120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275902848).

126120960 is an abundant number, since it is smaller than the sum of its proper divisors (425684736).

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

126120960 is a wasteful number, since it uses less digits than its factorization.

126120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 126120960 is about 11230.3588544623. The cubic root of 126120960 is about 501.4901677216.

The spelling of 126120960 in words is "one hundred twenty-six million, one hundred twenty thousand, nine hundred sixty".