321214021042000 has 80 divisors (see below), whose sum is σ = 784385557856784. Its totient is φ = 127213473600000.

The previous prime is 321214021041983. The next prime is 321214021042039. The reversal of 321214021042000 is 240120412123.

It can be written as a sum of positive squares in 8 ways, for example, as 53479734984256 + 267734286057744 = 7312984^2 + 16362588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794882211 + ... + 795286210.

Almost surely, 2^{321214021042000} is an apocalyptic number.

It is an amenable number.

321214021042000 is an abundant number, since it is smaller than the sum of its proper divisors (463171536814784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321214021042000 is a wasteful number, since it uses less digits than its factorization.

321214021042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590168545 (or 1590168529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 321214021042000 its reverse (240120412123), we get a palindrome (321454141454123).

The spelling of 321214021042000 in words is "three hundred twenty-one trillion, two hundred fourteen billion, twenty-one million, forty-two thousand".