123104464401321 has 24 divisors (see below), whose sum is σ = 191543128849800. Its totient is φ = 75737883234816.

The previous prime is 123104464401299. The next prime is 123104464401383.

It is a happy number.

123104464401321 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 0 + 4 + 4 + 644 + 0 + 1 + 3 + 2 + 1 = 666.

123104464401321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6523554515625 + 116580909885696 = 2554125^2 + 10797264^2 .

It is not a de Polignac number, because 123104464401321 - 2⁹ = 123104464400809 is a prime.

It is a super-2 number, since 2×123104464401321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123104464402321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129456486 + ... + 130403951.

It is an arithmetic number, because the mean of its divisors is an integer number (7980963702075).

Almost surely, 2^{123104464401321} is an apocalyptic number.

It is an amenable number.

123104464401321 is a deficient number, since it is larger than the sum of its proper divisors (68438664448479).

123104464401321 is a wasteful number, since it uses less digits than its factorization.

123104464401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259864505 (or 259864502 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 123104464401321 in words is "one hundred twenty-three trillion, one hundred four billion, four hundred sixty-four million, four hundred one thousand, three hundred twenty-one".