12221133100 has 162 divisors, whose sum is σ = 30149239596. Its totient is φ = 4296600000.

The previous prime is 12221133059. The next prime is 12221133103. The reversal of 12221133100 is 133112221.

It is a super-2 number, since 2×12221133100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221133103) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11627575 + ... + 11628625.

Almost surely, 2^12221133100 is an apocalyptic number.

12221133100 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 12221133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074619798).

12221133100 is an abundant number, since it is smaller than the sum of its proper divisors (17928106496).

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

12221133100 is a wasteful number, since it uses less digits than its factorization.

12221133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12221133100 its reverse (133112221), we get a palindrome (12354245321).

The spelling of 12221133100 in words is "twelve billion, two hundred twenty-one million, one hundred thirty-three thousand, one hundred".