12993210048 has 672 divisors, whose sum is σ = 46700236800. Its totient is φ = 3150766080.

The previous prime is 12993210037. The next prime is 12993210053. The reversal of 12993210048 is 84001239921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12993209988 and 12993210015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87202678 + ... + 87202826.

It is an arithmetic number, because the mean of its divisors is an integer number (69494400).

Almost surely, 2^12993210048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12993210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

12993210048 is an abundant number, since it is smaller than the sum of its proper divisors (33707026752).

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

12993210048 is a wasteful number, since it uses less digits than its factorization.

12993210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 12993210048 its reverse (84001239921), we get a palindrome (96994449969).

The spelling of 12993210048 in words is "twelve billion, nine hundred ninety-three million, two hundred ten thousand, forty-eight".