126972584000 has 56 divisors (see below), whose sum is σ = 314447624088. Its totient is φ = 50789030400.

The previous prime is 126972583999. The next prime is 126972584033. The reversal of 126972584000 is 485279621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1984880704 + 124987703296 = 44552^2 + 353536^2 .

It is a super-3 number, since 3×126972584000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 7927787 + ... + 7943786.

Almost surely, 2^126972584000 is an apocalyptic number.

126972584000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126972584000 is an abundant number, since it is smaller than the sum of its proper divisors (187475040088).

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

126972584000 is an equidigital number, since it uses as much as digits as its factorization.

126972584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15871600 (or 15871580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 126972584000 in words is "one hundred twenty-six billion, nine hundred seventy-two million, five hundred eighty-four thousand".