12211213133300 has 36 divisors (see below), whose sum is σ = 28057057944300. Its totient is φ = 4597162590720.

The previous prime is 12211213133261. The next prime is 12211213133303. The reversal of 12211213133300 is 333131211221.

It can be written as a sum of positive squares in 6 ways, for example, as 145469011216 + 12065744122084 = 381404^2 + 3473578^2 .

It is a super-2 number, since 2×12211213133300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211213133303) 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, 3591531575 + ... + 3591534974.

It is an arithmetic number, because the mean of its divisors is an integer number (779362720675).

Almost surely, 2^{12211213133300} is an apocalyptic number.

12211213133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211213133300 is an abundant number, since it is smaller than the sum of its proper divisors (15845844811000).

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

12211213133300 is a wasteful number, since it uses less digits than its factorization.

12211213133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183066580 (or 7183066573 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12211213133300 its reverse (333131211221), we get a palindrome (12544344344521).

The spelling of 12211213133300 in words is "twelve trillion, two hundred eleven billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred".