12679360920 has 192 divisors, whose sum is σ = 45248505120. Its totient is φ = 3182229504.

The previous prime is 12679360919. The next prime is 12679360921. The reversal of 12679360920 is 2906397621.

It is a happy number.

12679360920 is a `hidden beast` number, since 1 + 267 + 9 + 360 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12679360919) and next prime (12679360921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12679360921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126874 + ... + 203606.

Almost surely, 2^12679360920 is an apocalyptic number.

12679360920 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 12679360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624252560).

12679360920 is an abundant number, since it is smaller than the sum of its proper divisors (32569144200).

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

12679360920 is a wasteful number, since it uses less digits than its factorization.

12679360920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76776 (or 76760 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 12679360920 in words is "twelve billion, six hundred seventy-nine million, three hundred sixty thousand, nine hundred twenty".