12640167612 has 60 divisors (see below), whose sum is σ = 33139417080. Its totient is φ = 4201209504.

The previous prime is 12640167593. The next prime is 12640167619. The reversal of 12640167612 is 21676104621.

12640167612 is a `hidden beast` number, since 1 + 2 + 640 + 1 + 6 + 7 + 6 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640167619) 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 19 ways as a sum of consecutive naturals, for example, 56214 + ... + 168642.

It is an arithmetic number, because the mean of its divisors is an integer number (552323618).

Almost surely, 2^12640167612 is an apocalyptic number.

12640167612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 112428×112429.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640167612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569708540).

12640167612 is an abundant number, since it is smaller than the sum of its proper divisors (20499249468).

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

12640167612 is a wasteful number, since it uses less digits than its factorization.

12640167612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112792 (or 112781 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12640167612 in words is "twelve billion, six hundred forty million, one hundred sixty-seven thousand, six hundred twelve".