12707188032 has 168 divisors, whose sum is σ = 42666086880. Its totient is φ = 3300541440.

The previous prime is 12707188031. The next prime is 12707188061. The reversal of 12707188032 is 23088170721.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12707188032² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12707188031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42094 + ... + 164882.

Almost surely, 2^12707188032 is an apocalyptic number.

12707188032 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 12707188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21333043440).

12707188032 is an abundant number, since it is smaller than the sum of its proper divisors (29958898848).

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

12707188032 is a wasteful number, since it uses less digits than its factorization.

12707188032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122829 (or 122812 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 12707188032 in words is "twelve billion, seven hundred seven million, one hundred eighty-eight thousand, thirty-two".