12667960032 has 384 divisors, whose sum is σ = 43731394560. Its totient is φ = 3119800320.

The previous prime is 12667959979. The next prime is 12667960037. The reversal of 12667960032 is 23006976621.

12667960032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12667960032² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12667960037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7852858 + ... + 7854470.

It is an arithmetic number, because the mean of its divisors is an integer number (113883840).

Almost surely, 2^12667960032 is an apocalyptic number.

12667960032 is a gapful number since it is divisible by the number (12) 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 12667960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865697280).

12667960032 is an abundant number, since it is smaller than the sum of its proper divisors (31063434528).

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

12667960032 is a wasteful number, since it uses less digits than its factorization.

12667960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 12667960032 in words is "twelve billion, six hundred sixty-seven million, nine hundred sixty thousand, thirty-two".