12221210528100 has 432 divisors, whose sum is σ = 44148440568960. Its totient is φ = 2769902438400.

The previous prime is 12221210528027. The next prime is 12221210528101. The reversal of 12221210528100 is 182501212221.

12221210528100 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 121 + 0 + 528 + 10 + 0 = 666.

12221210528100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12221210528100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221210528101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 746963920 + ... + 746980280.

It is an arithmetic number, because the mean of its divisors is an integer number (102195464280).

Almost surely, 2^{12221210528100} is an apocalyptic number.

12221210528100 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 12221210528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074220284480).

12221210528100 is an abundant number, since it is smaller than the sum of its proper divisors (31927230040860).

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

12221210528100 is a wasteful number, since it uses less digits than its factorization.

12221210528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17380 (or 17370 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 12221210528100 in words is "twelve trillion, two hundred twenty-one billion, two hundred ten million, five hundred twenty-eight thousand, one hundred".