126100480 has 88 divisors (see below), whose sum is σ = 330140160. Its totient is φ = 45834240.

The previous prime is 126100427. The next prime is 126100493. The reversal of 126100480 is 84001621.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55201 + ... + 57439.

Almost surely, 2^126100480 is an apocalyptic number.

126100480 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 126100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165070080).

126100480 is an abundant number, since it is smaller than the sum of its proper divisors (204039680).

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

126100480 is a wasteful number, since it uses less digits than its factorization.

126100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 126100480 is about 11229.4470033034. The cubic root of 126100480 is about 501.4630216268.

The spelling of 126100480 in words is "one hundred twenty-six million, one hundred thousand, four hundred eighty".