12213199720512 has 504 divisors, whose sum is σ = 41422914067392. Its totient is φ = 3429757900800.

The previous prime is 12213199720489. The next prime is 12213199720573. The reversal of 12213199720512 is 21502799131221.

12213199720512 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 19 + 97 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×12213199720512² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 663283018 + ... + 663301430.

Almost surely, 2^{12213199720512} is an apocalyptic number.

12213199720512 is a gapful number since it is divisible by the number (12) 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 12213199720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20711457033696).

12213199720512 is an abundant number, since it is smaller than the sum of its proper divisors (29209714346880).

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

12213199720512 is a wasteful number, since it uses less digits than its factorization.

12213199720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18847 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12213199720512 in words is "twelve trillion, two hundred thirteen billion, one hundred ninety-nine million, seven hundred twenty thousand, five hundred twelve".