12211122133002 has 64 divisors (see below), whose sum is σ = 26574733664640. Its totient is φ = 3718318915584.

The previous prime is 12211122132907. The next prime is 12211122133013. The reversal of 12211122133002 is 20033122111221.

It is a super-2 number, since 2×12211122133002² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211122133002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594378 + ... + 5192714.

It is an arithmetic number, because the mean of its divisors is an integer number (415230213510).

Almost surely, 2^{12211122133002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211122133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287366832320).

12211122133002 is an abundant number, since it is smaller than the sum of its proper divisors (14363611531638).

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

12211122133002 is a wasteful number, since it uses less digits than its factorization.

12211122133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598807.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12211122133002 its reverse (20033122111221), we get a palindrome (32244244244223).

The spelling of 12211122133002 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, two".