13220986957200 has 1200 divisors, whose sum is σ = 54687419424000. Its totient is φ = 3025231027200.

The previous prime is 13220986957187. The next prime is 13220986957307. The reversal of 13220986957200 is 275968902231.

13220986957200 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 9 + 8 + 69 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×13220986957200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1916359351 + ... + 1916366249.

It is an arithmetic number, because the mean of its divisors is an integer number (45572849520).

Almost surely, 2^{13220986957200} is an apocalyptic number.

13220986957200 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 13220986957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343709712000).

13220986957200 is an abundant number, since it is smaller than the sum of its proper divisors (41466432466800).

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

13220986957200 is a wasteful number, since it uses less digits than its factorization.

13220986957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13220986957200 in words is "thirteen trillion, two hundred twenty billion, nine hundred eighty-six million, nine hundred fifty-seven thousand, two hundred".