12813366309120 has 1440 divisors, whose sum is σ = 52129171987200. Its totient is φ = 2979152068608.

The previous prime is 12813366309103. The next prime is 12813366309179. The reversal of 12813366309120 is 2190366331821.

12813366309120 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 3 + 3 + 6 + 630 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13034960149 + ... + 13034961131.

It is an arithmetic number, because the mean of its divisors is an integer number (36200813880).

Almost surely, 2^{12813366309120} is an apocalyptic number.

12813366309120 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 12813366309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26064585993600).

12813366309120 is an abundant number, since it is smaller than the sum of its proper divisors (39315805678080).

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

12813366309120 is a wasteful number, since it uses less digits than its factorization.

12813366309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12813366309120 in words is "twelve trillion, eight hundred thirteen billion, three hundred sixty-six million, three hundred nine thousand, one hundred twenty".