12984136704 has 880 divisors, whose sum is σ = 51360376320. Its totient is φ = 3165143040.

The previous prime is 12984136703. The next prime is 12984136717. The reversal of 12984136704 is 40763148921.

It is a self number, because there is not a number n which added to its sum of digits gives 12984136704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12984136703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121347019 + ... + 121347125.

It is an arithmetic number, because the mean of its divisors is an integer number (58364064).

Almost surely, 2^12984136704 is an apocalyptic number.

12984136704 is a gapful number since it is divisible by the number (14) 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 12984136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680188160).

12984136704 is an abundant number, since it is smaller than the sum of its proper divisors (38376239616).

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

12984136704 is a wasteful number, since it uses less digits than its factorization.

12984136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

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

The spelling of 12984136704 in words is "twelve billion, nine hundred eighty-four million, one hundred thirty-six thousand, seven hundred four".