123222321012001 has 16 divisors (see below), whose sum is σ = 124956978166800. Its totient is φ = 121495661641728.

The previous prime is 123222321011957. The next prime is 123222321012073. The reversal of 123222321012001 is 100210123222321.

It can be written as a sum of positive squares in 8 ways, for example, as 671908090000 + 122550412922001 = 819700^2 + 11070249^2 .

It is a cyclic number.

It is not a de Polignac number, because 123222321012001 - 2¹³ = 123222321003809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123222322012001) 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, 99597145 + ... + 100826761.

It is an arithmetic number, because the mean of its divisors is an integer number (7809811135425).

Almost surely, 2^{123222321012001} is an apocalyptic number.

It is an amenable number.

123222321012001 is a deficient number, since it is larger than the sum of its proper divisors (1734657154799).

123222321012001 is a wasteful number, since it uses less digits than its factorization.

123222321012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232868.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 123222321012001 its reverse (100210123222321), we get a palindrome (223432444234322).

The spelling of 123222321012001 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, three hundred twenty-one million, twelve thousand, one".