123222121012181 has 2 divisors, whose sum is σ = 123222121012182. Its totient is φ = 123222121012180.

The previous prime is 123222121012157. The next prime is 123222121012247. The reversal of 123222121012181 is 181210121222321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111471554044081 + 11750566968100 = 10558009^2 + 3427910^2 .

It is a cyclic number.

It is not a de Polignac number, because 123222121012181 - 2⁶ = 123222121012117 is a prime.

It is a super-2 number, since 2×123222121012181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123222121012681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61611060506090 + 61611060506091.

It is an arithmetic number, because the mean of its divisors is an integer number (61611060506091).

Almost surely, 2^{123222121012181} is an apocalyptic number.

It is an amenable number.

123222121012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

123222121012181 is an equidigital number, since it uses as much as digits as its factorization.

123222121012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 123222121012181 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred eighty-one".