127504227312 has 360 divisors, whose sum is σ = 454389167232. Its totient is φ = 33003936000.

The previous prime is 127504227307. The next prime is 127504227337. The reversal of 127504227312 is 213722405721.

127504227312 is a `hidden beast` number, since 127 + 504 + 2 + 27 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23825437 + ... + 23830787.

Almost surely, 2^127504227312 is an apocalyptic number.

127504227312 is a gapful number since it is divisible by the number (12) 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 127504227312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227194583616).

127504227312 is an abundant number, since it is smaller than the sum of its proper divisors (326884939920).

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

127504227312 is a wasteful number, since it uses less digits than its factorization.

127504227312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 127504227312 in words is "one hundred twenty-seven billion, five hundred four million, two hundred twenty-seven thousand, three hundred twelve".