126917120 has 80 divisors (see below), whose sum is σ = 332041248. Its totient is φ = 46141440.

The previous prime is 126917113. The next prime is 126917173. The reversal of 126917120 is 21719621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126917120² = 32215910698188800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25907 + ... + 30413.

Almost surely, 2^126917120 is an apocalyptic number.

126917120 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 126917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166020624).

126917120 is an abundant number, since it is smaller than the sum of its proper divisors (205124128).

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

126917120 is an equidigital number, since it uses as much as digits as its factorization.

126917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 126917120 is about 11265.7498640792. The cubic root of 126917120 is about 502.5432023118.

The spelling of 126917120 in words is "one hundred twenty-six million, nine hundred seventeen thousand, one hundred twenty".