12220022212200 has 1152 divisors, whose sum is σ = 49432121856000. Its totient is φ = 2672418355200.

The previous prime is 12220022212193. The next prime is 12220022212243. The reversal of 12220022212200 is 221222002221.

12220022212200 is a `hidden beast` number, since 1 + 2 + 220 + 0 + 2 + 221 + 220 + 0 = 666.

It is a super-2 number, since 2×12220022212200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 654202461 + ... + 654221139.

It is an arithmetic number, because the mean of its divisors is an integer number (42909828000).

Almost surely, 2^{12220022212200} is an apocalyptic number.

12220022212200 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 12220022212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716060928000).

12220022212200 is an abundant number, since it is smaller than the sum of its proper divisors (37212099643800).

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

12220022212200 is a wasteful number, since it uses less digits than its factorization.

12220022212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815 (or 18803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220022212200 its reverse (221222002221), we get a palindrome (12441244214421).

The spelling of 12220022212200 in words is "twelve trillion, two hundred twenty billion, twenty-two million, two hundred twelve thousand, two hundred".