127974120 has 192 divisors, whose sum is σ = 425476800. Its totient is φ = 30689280.

The previous prime is 127974109. The next prime is 127974151. The reversal of 127974120 is 21479721.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3121300 + ... + 3121340.

It is an arithmetic number, because the mean of its divisors is an integer number (2216025).

Almost surely, 2^127974120 is an apocalyptic number.

127974120 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 127974120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212738400).

127974120 is an abundant number, since it is smaller than the sum of its proper divisors (297502680).

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

127974120 is a wasteful number, since it uses less digits than its factorization.

127974120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 127974120 is about 11312.5646959476. The cubic root of 127974120 is about 503.9344522969.

The spelling of 127974120 in words is "one hundred twenty-seven million, nine hundred seventy-four thousand, one hundred twenty".