12993007104 has 360 divisors, whose sum is σ = 47119952880. Its totient is φ = 3373793280.

The previous prime is 12993007087. The next prime is 12993007123. The reversal of 12993007104 is 40170039921.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3901312 + ... + 3904640.

It is an arithmetic number, because the mean of its divisors is an integer number (130888758).

Almost surely, 2^12993007104 is an apocalyptic number.

12993007104 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 12993007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559976440).

12993007104 is an abundant number, since it is smaller than the sum of its proper divisors (34126945776).

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

12993007104 is a wasteful number, since it uses less digits than its factorization.

12993007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12993007104 in words is "twelve billion, nine hundred ninety-three million, seven thousand, one hundred four".