127193021172 has 120 divisors (see below), whose sum is σ = 387179122176. Its totient is φ = 35655152832.

The previous prime is 127193021161. The next prime is 127193021201. The reversal of 127193021172 is 271120391721.

127193021172 is a `hidden beast` number, since 1 + 271 + 9 + 302 + 11 + 72 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408868 + ... + 649275.

Almost surely, 2^127193021172 is an apocalyptic number.

127193021172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127193021172 is an abundant number, since it is smaller than the sum of its proper divisors (259986101004).

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

127193021172 is a wasteful number, since it uses less digits than its factorization.

127193021172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058219 (or 1058208 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 127193021172 in words is "one hundred twenty-seven billion, one hundred ninety-three million, twenty-one thousand, one hundred seventy-two".