123402121204321 has 8 divisors (see below), whose sum is σ = 124805642913000. Its totient is φ = 121998976851840.

The previous prime is 123402121204199. The next prime is 123402121204331.

123402121204321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 531790977600 + 122870330226721 = 729240^2 + 11084689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123402121204321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123402121204321.

It is not an unprimeable number, because it can be changed into a prime (123402121204331) 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 7 ways as a sum of consecutive naturals, for example, 93681270 + ... + 94989391.

It is an arithmetic number, because the mean of its divisors is an integer number (15600705364125).

Almost surely, 2^{123402121204321} is an apocalyptic number.

It is an amenable number.

123402121204321 is a deficient number, since it is larger than the sum of its proper divisors (1403521708679).

123402121204321 is an equidigital number, since it uses as much as digits as its factorization.

123402121204321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188678099.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 123402121204321 in words is "one hundred twenty-three trillion, four hundred two billion, one hundred twenty-one million, two hundred four thousand, three hundred twenty-one".