123333221011122 has 20 divisors (see below), whose sum is σ = 276357773006766. Its totient is φ = 41111073670320.

The previous prime is 123333221011103. The next prime is 123333221011123. The reversal of 123333221011122 is 221110122333321.

123333221011122 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 332 + 210 + 1 + 112 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123303457515681 + 29763495441 = 11104209^2 + 172521^2 .

It is a super-2 number, since 2×123333221011122² (a number of 29 digits) contains 22 as substring.

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

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 9 ways as a sum of consecutive naturals, for example, 380658089379 + ... + 380658089702.

Almost surely, 2^{123333221011122} is an apocalyptic number.

123333221011122 is an abundant number, since it is smaller than the sum of its proper divisors (153024551995644).

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

123333221011122 is an equidigital number, since it uses as much as digits as its factorization.

123333221011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761316179095 (or 761316179086 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123333221011122 its reverse (221110122333321), we get a palindrome (344443343344443).

The spelling of 123333221011122 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".