127112400 has 360 divisors, whose sum is σ = 489325824. Its totient is φ = 30412800.

The previous prime is 127112399. The next prime is 127112437. The reversal of 127112400 is 4211721.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897167 + ... + 1897233.

Almost surely, 2^127112400 is an apocalyptic number.

127112400 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 127112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244662912).

127112400 is an abundant number, since it is smaller than the sum of its proper divisors (362213424).

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

127112400 is a wasteful number, since it uses less digits than its factorization.

127112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 127112400 is about 11274.4135102452. The cubic root of 127112400 is about 502.8008149101.

The spelling of 127112400 in words is "one hundred twenty-seven million, one hundred twelve thousand, four hundred".