12309511680 has 800 divisors, whose sum is σ = 48126830400. Its totient is φ = 2997485568.

The previous prime is 12309511673. The next prime is 12309511699. The reversal of 12309511680 is 8611590321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138309076 + ... + 138309164.

It is an arithmetic number, because the mean of its divisors is an integer number (60158538).

Almost surely, 2^12309511680 is an apocalyptic number.

12309511680 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 12309511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24063415200).

12309511680 is an abundant number, since it is smaller than the sum of its proper divisors (35817318720).

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

12309511680 is an equidigital number, since it uses as much as digits as its factorization.

12309511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12309511680 in words is "twelve billion, three hundred nine million, five hundred eleven thousand, six hundred eighty".