127121868 has 36 divisors (see below), whose sum is σ = 322554960. Its totient is φ = 42213216.

The previous prime is 127121867. The next prime is 127121873. The reversal of 127121868 is 868121721.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (127121861) 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, 3121 + ... + 16247.

It is an arithmetic number, because the mean of its divisors is an integer number (8959860).

Almost surely, 2^127121868 is an apocalyptic number.

127121868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127121868 is an abundant number, since it is smaller than the sum of its proper divisors (195433092).

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

127121868 is a wasteful number, since it uses less digits than its factorization.

127121868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13406 (or 13401 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 127121868 is about 11274.8333912302. The cubic root of 127121868 is about 502.8132983498.

The spelling of 127121868 in words is "one hundred twenty-seven million, one hundred twenty-one thousand, eight hundred sixty-eight".