12946944096 has 120 divisors (see below), whose sum is σ = 39105990000. Its totient is φ = 4198977792.

The previous prime is 12946944079. The next prime is 12946944097. The reversal of 12946944096 is 69044964921.

It is a happy number.

It is a super-2 number, since 2×12946944096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946944097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28405 + ... + 163403.

It is an arithmetic number, because the mean of its divisors is an integer number (325883250).

Almost surely, 2^12946944096 is an apocalyptic number.

12946944096 is a gapful number since it is divisible by the number (16) 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 12946944096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552995000).

12946944096 is an abundant number, since it is smaller than the sum of its proper divisors (26159045904).

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

12946944096 is a wasteful number, since it uses less digits than its factorization.

12946944096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135058 (or 135041 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12946944096 in words is "twelve billion, nine hundred forty-six million, nine hundred forty-four thousand, ninety-six".