12211122133001 has 16 divisors (see below), whose sum is σ = 14129382009600. Its totient is φ = 10436475301200.

The previous prime is 12211122132907. The next prime is 12211122133013. The reversal of 12211122133001 is 10033122111221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211122133001 is a prime.

It is a super-2 number, since 2×12211122133001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211122133051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222974231 + ... + 223028988.

It is an arithmetic number, because the mean of its divisors is an integer number (883086375600).

Almost surely, 2^{12211122133001} is an apocalyptic number.

12211122133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211122133001 is a deficient number, since it is larger than the sum of its proper divisors (1918259876599).

12211122133001 is a wasteful number, since it uses less digits than its factorization.

12211122133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446003380.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12211122133001 its reverse (10033122111221), we get a palindrome (22244244244222).

The spelling of 12211122133001 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, one".