321210120000 has 560 divisors, whose sum is σ = 1324084557312. Its totient is φ = 66743040000.

The previous prime is 321210119903. The next prime is 321210120037. The reversal of 321210120000 is 21012123.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9222619 + ... + 9257381.

Almost surely, 2^321210120000 is an apocalyptic number.

321210120000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662042278656).

321210120000 is an abundant number, since it is smaller than the sum of its proper divisors (1002874437312).

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

321210120000 is a wasteful number, since it uses less digits than its factorization.

321210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34816 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 321210120000 its reverse (21012123), we get a palindrome (321231132123).

The spelling of 321210120000 in words is "three hundred twenty-one billion, two hundred ten million, one hundred twenty thousand".