321121012000 has 48 divisors (see below), whose sum is σ = 788994336312. Its totient is φ = 128448403200.

The previous prime is 321121011997. The next prime is 321121012019. The reversal of 321121012000 is 210121123.

It can be written as a sum of positive squares in 4 ways, for example, as 19495978384 + 301625033616 = 139628^2 + 549204^2 .

It is a super-3 number, since 3×321121012000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40136127 + ... + 40144126.

Almost surely, 2^321121012000 is an apocalyptic number.

It is an amenable number.

321121012000 is an abundant number, since it is smaller than the sum of its proper divisors (467873324312).

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

321121012000 is an equidigital number, since it uses as much as digits as its factorization.

321121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80280278 (or 80280260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 321121012000 its reverse (210121123), we get a palindrome (321331133123).

The spelling of 321121012000 in words is "three hundred twenty-one billion, one hundred twenty-one million, twelve thousand".