127312400 has 30 divisors (see below), whose sum is σ = 305869002. Its totient is φ = 50924800.

The previous prime is 127312391. The next prime is 127312417. The reversal of 127312400 is 4213721.

It can be written as a sum of positive squares in 3 ways, for example, as 15460624 + 111851776 = 3932^2 + 10576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 158741 + ... + 159540.

Almost surely, 2^127312400 is an apocalyptic number.

127312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127312400 is an abundant number, since it is smaller than the sum of its proper divisors (178556602).

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

127312400 is a wasteful number, since it uses less digits than its factorization.

127312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318299 (or 318288 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 127312400 is about 11283.2796650619. The cubic root of 127312400 is about 503.0643807732.

The spelling of 127312400 in words is "one hundred twenty-seven million, three hundred twelve thousand, four hundred".