321414242414123 has 32 divisors (see below), whose sum is σ = 332116290554112. Its totient is φ = 310912842240000.

The previous prime is 321414242414071. The next prime is 321414242414141.

321414242414123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321414242414123 - 2¹⁶ = 321414242348587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321414442414123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322021273 + ... + 1322264373.

It is an arithmetic number, because the mean of its divisors is an integer number (10378634079816).

Almost surely, 2^{321414242414123} is an apocalyptic number.

321414242414123 is a deficient number, since it is larger than the sum of its proper divisors (10702048139989).

321414242414123 is a wasteful number, since it uses less digits than its factorization.

321414242414123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244295.

The product of its digits is 147456, while the sum is 38.

The spelling of 321414242414123 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred forty-two million, four hundred fourteen thousand, one hundred twenty-three".