321421250021200 has 240 divisors, whose sum is σ = 891152873168896. Its totient is φ = 109125077644800.

The previous prime is 321421250021149. The next prime is 321421250021231. The reversal of 321421250021200 is 2120052124123.

It is a super-2 number, since 2×321421250021200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8647078615 + ... + 8647115785.

Almost surely, 2^{321421250021200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321421250021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445576436584448).

321421250021200 is an abundant number, since it is smaller than the sum of its proper divisors (569731623147696).

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

321421250021200 is a wasteful number, since it uses less digits than its factorization.

321421250021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67282 (or 67271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 321421250021200 in words is "three hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty million, twenty-one thousand, two hundred".