12210013201320 has 640 divisors, whose sum is σ = 45472826234880. Its totient is φ = 2913672384000.

The previous prime is 12210013201313. The next prime is 12210013201343. The reversal of 12210013201320 is 2310231001221.

12210013201320 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 0 + 1 + 320 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12210013201293 and 12210013201302.

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, 1748530549 + ... + 1748537531.

It is an arithmetic number, because the mean of its divisors is an integer number (71051290992).

Almost surely, 2^{12210013201320} is an apocalyptic number.

12210013201320 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 12210013201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736413117440).

12210013201320 is an abundant number, since it is smaller than the sum of its proper divisors (33262813033560).

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

12210013201320 is a wasteful number, since it uses less digits than its factorization.

12210013201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210013201320 its reverse (2310231001221), we get a palindrome (14520244202541).

The spelling of 12210013201320 in words is "twelve trillion, two hundred ten billion, thirteen million, two hundred one thousand, three hundred twenty".