12220112122100 has 216 divisors, whose sum is σ = 29281388996160. Its totient is φ = 4417640156160.

The previous prime is 12220112122087. The next prime is 12220112122117. The reversal of 12220112122100 is 122121102221.

It is a super-2 number, since 2×12220112122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314664284 + ... + 314703116.

Almost surely, 2^{12220112122100} is an apocalyptic number.

12220112122100 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 12220112122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640694498080).

12220112122100 is an abundant number, since it is smaller than the sum of its proper divisors (17061276874060).

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

12220112122100 is a wasteful number, since it uses less digits than its factorization.

12220112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287 (or 39261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12220112122100 its reverse (122121102221), we get a palindrome (12342233224321).

The spelling of 12220112122100 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".