123333221011121 has 64 divisors (see below), whose sum is σ = 140574044160000. Its totient is φ = 107237732958720.

The previous prime is 123333221011103. The next prime is 123333221011123. The reversal of 123333221011121 is 121110122333321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123333221011121 is a prime.

It is a super-2 number, since 2×123333221011121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123333221011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4304960405 + ... + 4304989053.

It is an arithmetic number, because the mean of its divisors is an integer number (2196469440000).

Almost surely, 2^{123333221011121} is an apocalyptic number.

123333221011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123333221011121 is a deficient number, since it is larger than the sum of its proper divisors (17240823148879).

123333221011121 is a wasteful number, since it uses less digits than its factorization.

123333221011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29862.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 123333221011121 its reverse (121110122333321), we get a palindrome (244443343344442).

The spelling of 123333221011121 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, two hundred twenty-one million, eleven thousand, one hundred twenty-one".