127014400 has 60 divisors (see below), whose sum is σ = 314719812. Its totient is φ = 50800640.

The previous prime is 127014367. The next prime is 127014421. The reversal of 127014400 is 4410721.

It is a super-2 number, since 2×127014400² = 32265315614720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7839 + ... + 17761.

Almost surely, 2^127014400 is an apocalyptic number.

127014400 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 127014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157359906).

127014400 is an abundant number, since it is smaller than the sum of its proper divisors (187705412).

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

127014400 is an frugal number, since it uses more digits than its factorization.

127014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 127014400 is about 11270.0665481620. The cubic root of 127014400 is about 502.6715667058.

The spelling of 127014400 in words is "one hundred twenty-seven million, fourteen thousand, four hundred".