127933120 has 168 divisors, whose sum is σ = 364845600. Its totient is φ = 42577920.

The previous prime is 127933111. The next prime is 127933151. The reversal of 127933120 is 21339721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642781 + ... + 642979.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^127933120 is an apocalyptic number.

127933120 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 127933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

127933120 is an abundant number, since it is smaller than the sum of its proper divisors (236912480).

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

127933120 is a wasteful number, since it uses less digits than its factorization.

127933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 127933120 is about 11310.7524064494. The cubic root of 127933120 is about 503.8806301663.

The spelling of 127933120 in words is "one hundred twenty-seven million, nine hundred thirty-three thousand, one hundred twenty".