12220112022100 has 36 divisors (see below), whose sum is σ = 26529497683164. Its totient is φ = 4885859630080.

The previous prime is 12220112022089. The next prime is 12220112022101. The reversal of 12220112022100 is 122021102221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 984516403984 + 11235595618116 = 992228^2 + 3351954^2 .

It is a super-2 number, since 2×12220112022100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220112022101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27089917 + ... + 27537316.

It is an arithmetic number, because the mean of its divisors is an integer number (736930491199).

Almost surely, 2^{12220112022100} is an apocalyptic number.

12220112022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220112022100 is an abundant number, since it is smaller than the sum of its proper divisors (14309385661064).

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

12220112022100 is a wasteful number, since it uses less digits than its factorization.

12220112022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54629484 (or 54629477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220112022100 its reverse (122021102221), we get a palindrome (12342133124321).

The spelling of 12220112022100 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, twenty-two thousand, one hundred".