12767347125 has 96 divisors (see below), whose sum is σ = 25016191200. Its totient is φ = 6227020800.

The previous prime is 12767347013. The next prime is 12767347147. The reversal of 12767347125 is 52174376721.

12767347125 is a `hidden beast` number, since 127 + 67 + 347 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9245399409 + 3521947716 = 96153^2 + 59346^2 .

It is not a de Polignac number, because 12767347125 - 2¹⁶ = 12767281589 is a prime.

It is a super-2 number, since 2×12767347125² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590121 + ... + 1598129.

It is an arithmetic number, because the mean of its divisors is an integer number (260585325).

Almost surely, 2^12767347125 is an apocalyptic number.

12767347125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12767347125 is a deficient number, since it is larger than the sum of its proper divisors (12248844075).

12767347125 is a wasteful number, since it uses less digits than its factorization.

12767347125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8139 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 12767347125 in words is "twelve billion, seven hundred sixty-seven million, three hundred forty-seven thousand, one hundred twenty-five".