12221133133311 has 40 divisors (see below), whose sum is σ = 18269426988384. Its totient is φ = 8141548515840.

The previous prime is 12221133133301. The next prime is 12221133133343. The reversal of 12221133133311 is 11333133112221.

12221133133311 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 13 + 313 + 331 + 1 = 666.

It is not a de Polignac number, because 12221133133311 - 2⁹ = 12221133132799 is a prime.

It is a super-2 number, since 2×12221133133311² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221133133301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 813054366 + ... + 813069396.

Almost surely, 2^{12221133133311} is an apocalyptic number.

12221133133311 is a deficient number, since it is larger than the sum of its proper divisors (6048293855073).

12221133133311 is a wasteful number, since it uses less digits than its factorization.

12221133133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21604 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 12221133133311 its reverse (11333133112221), we get a palindrome (23554266245532).

The spelling of 12221133133311 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred eleven".