12909167136 has 144 divisors (see below), whose sum is σ = 37219186368. Its totient is φ = 4243776000.

The previous prime is 12909167129. The next prime is 12909167147. The reversal of 12909167136 is 63176190921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12909167136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12909167091 and 12909167100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9045655 + ... + 9047081.

It is an arithmetic number, because the mean of its divisors is an integer number (258466572).

Almost surely, 2^12909167136 is an apocalyptic number.

12909167136 is a gapful number since it is divisible by the number (16) 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 12909167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609593184).

12909167136 is an abundant number, since it is smaller than the sum of its proper divisors (24310019232).

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

12909167136 is a wasteful number, since it uses less digits than its factorization.

12909167136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12909167136 in words is "twelve billion, nine hundred nine million, one hundred sixty-seven thousand, one hundred thirty-six".