12022122112100 has 36 divisors (see below), whose sum is σ = 26987591368500. Its totient is φ = 4643026469760.

The previous prime is 12022122112087. The next prime is 12022122112109. The reversal of 12022122112100 is 121122122021.

12022122112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2019244096 + 12020102868004 = 44936^2 + 3467002^2 .

It is not an unprimeable number, because it can be changed into a prime (12022122112109) 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, 2072776775 + ... + 2072782574.

Almost surely, 2^{12022122112100} is an apocalyptic number.

12022122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022122112100 is an abundant number, since it is smaller than the sum of its proper divisors (14965469256400).

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

12022122112100 is a wasteful number, since it uses less digits than its factorization.

12022122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145559392 (or 4145559385 counting only the distinct ones).

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

Adding to 12022122112100 its reverse (121122122021), we get a palindrome (12143244234121).

The spelling of 12022122112100 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".