12942607680 has 392 divisors, whose sum is σ = 46723782600. Its totient is φ = 3412979712.

The previous prime is 12942607673. The next prime is 12942607697. The reversal of 12942607680 is 8670624921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4032758016 + 8909849664 = 63504^2 + 94392^2 .

It is a super-2 number, since 2×12942607680² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25427266 + ... + 25427774.

Almost surely, 2^12942607680 is an apocalyptic number.

12942607680 is a gapful number since it is divisible by the number (10) 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 12942607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361891300).

12942607680 is an abundant number, since it is smaller than the sum of its proper divisors (33781174920).

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

12942607680 is an equidigital number, since it uses as much as digits as its factorization.

12942607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12942607680 in words is "twelve billion, nine hundred forty-two million, six hundred seven thousand, six hundred eighty".