125117112667 has 16 divisors (see below), whose sum is σ = 134265612960. Its totient is φ = 116227567872.

The previous prime is 125117112661. The next prime is 125117112709. The reversal of 125117112667 is 766211711521.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 125117112667 - 2¹¹ = 125117110619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125117112661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729833 + ... + 1800709.

It is an arithmetic number, because the mean of its divisors is an integer number (8391600810).

Almost surely, 2^125117112667 is an apocalyptic number.

125117112667 is a deficient number, since it is larger than the sum of its proper divisors (9148500293).

125117112667 is a wasteful number, since it uses less digits than its factorization.

125117112667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72702.

The product of its digits is 35280, while the sum is 40.

The spelling of 125117112667 in words is "one hundred twenty-five billion, one hundred seventeen million, one hundred twelve thousand, six hundred sixty-seven".