321240129 has 48 divisors (see below), whose sum is σ = 510898752. Its totient is φ = 178977792.

The previous prime is 321240119. The next prime is 321240131. The reversal of 321240129 is 921042123.

It is not a de Polignac number, because 321240129 - 2⁵ = 321240097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321240099 and 321240108.

It is not an unprimeable number, because it can be changed into a prime (321240119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1378597 + ... + 1378829.

It is an arithmetic number, because the mean of its divisors is an integer number (10643724).

Almost surely, 2^321240129 is an apocalyptic number.

It is an amenable number.

321240129 is a deficient number, since it is larger than the sum of its proper divisors (189658623).

321240129 is a wasteful number, since it uses less digits than its factorization.

321240129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 321240129 is about 17923.1729612812. The cubic root of 321240129 is about 684.8728191966.

The spelling of 321240129 in words is "three hundred twenty-one million, two hundred forty thousand, one hundred twenty-nine".