127230400 has 84 divisors (see below), whose sum is σ = 341574120. Its totient is φ = 46259200.

The previous prime is 127230391. The next prime is 127230409. The reversal of 127230400 is 4032721.

It is an interprime number because it is at equal distance from previous prime (127230391) and next prime (127230409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127230409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13986 + ... + 21214.

Almost surely, 2^127230400 is an apocalyptic number.

127230400 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 127230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170787060).

127230400 is an abundant number, since it is smaller than the sum of its proper divisors (214343720).

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

127230400 is a wasteful number, since it uses less digits than its factorization.

127230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 127230400 is about 11279.6453844968. The cubic root of 127230400 is about 502.9563521788.

The spelling of 127230400 in words is "one hundred twenty-seven million, two hundred thirty thousand, four hundred".