12984799201920 has 4096 divisors, whose sum is σ = 63959777280000. Its totient is φ = 2460663152640.

The previous prime is 12984799201889. The next prime is 12984799201967. The reversal of 12984799201920 is 2910299748921.

12984799201920 is a `hidden beast` number, since 1 + 298 + 4 + 79 + 92 + 0 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30127144105 + ... + 30127144535.

It is an arithmetic number, because the mean of its divisors is an integer number (15615180000).

Almost surely, 2^{12984799201920} is an apocalyptic number.

12984799201920 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 12984799201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31979888640000).

12984799201920 is an abundant number, since it is smaller than the sum of its proper divisors (50974978078080).

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

12984799201920 is a wasteful number, since it uses less digits than its factorization.

12984799201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 12984799201920 in words is "twelve trillion, nine hundred eighty-four billion, seven hundred ninety-nine million, two hundred one thousand, nine hundred twenty".