12493953100320 has 192 divisors, whose sum is σ = 39710546628480. Its totient is φ = 3301711659008.

The previous prime is 12493953100319. The next prime is 12493953100357. The reversal of 12493953100320 is 2300135939421.

12493953100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437648287 + ... + 437676833.

It is an arithmetic number, because the mean of its divisors is an integer number (206825763690).

Almost surely, 2^{12493953100320} is an apocalyptic number.

12493953100320 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 12493953100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19855273314240).

12493953100320 is an abundant number, since it is smaller than the sum of its proper divisors (27216593528160).

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

12493953100320 is a wasteful number, since it uses less digits than its factorization.

12493953100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36747 (or 36739 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 12493953100320 in words is "twelve trillion, four hundred ninety-three billion, nine hundred fifty-three million, one hundred thousand, three hundred twenty".