321214040412123 has 32 divisors (see below), whose sum is σ = 447580163923200. Its totient is φ = 204702621952896.

The previous prime is 321214040412059. The next prime is 321214040412211.

It is a happy number.

321214040412123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321214040412123 - 2⁶ = 321214040412059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321214060412123) 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, 3398013 + ... + 25572926.

It is an arithmetic number, because the mean of its divisors is an integer number (13986880122600).

Almost surely, 2^{321214040412123} is an apocalyptic number.

321214040412123 is a deficient number, since it is larger than the sum of its proper divisors (126366123511077).

321214040412123 is a wasteful number, since it uses less digits than its factorization.

321214040412123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28972731.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 321214040412123 in words is "three hundred twenty-one trillion, two hundred fourteen billion, forty million, four hundred twelve thousand, one hundred twenty-three".