12221033100 has 144 divisors (see below), whose sum is σ = 37513411488. Its totient is φ = 3061186560.

The previous prime is 12221033087. The next prime is 12221033119. The reversal of 12221033100 is 133012221.

It is a super-2 number, since 2×12221033100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221033100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940624 + ... + 2944776.

It is an arithmetic number, because the mean of its divisors is an integer number (260509802).

Almost surely, 2^12221033100 is an apocalyptic number.

12221033100 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 12221033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18756705744).

12221033100 is an abundant number, since it is smaller than the sum of its proper divisors (25292378388).

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

12221033100 is a wasteful number, since it uses less digits than its factorization.

12221033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12221033100 its reverse (133012221), we get a palindrome (12354045321).

The spelling of 12221033100 in words is "twelve billion, two hundred twenty-one million, thirty-three thousand, one hundred".