321220122000 has 160 divisors (see below), whose sum is σ = 1043521674624. Its totient is φ = 85004608000.

The previous prime is 321220121987. The next prime is 321220122019. The reversal of 321220122000 is 221022123.

It is a happy number.

It is a super-3 number, since 3×321220122000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581662 + ... + 990338.

Almost surely, 2^321220122000 is an apocalyptic number.

321220122000 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 321220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521760837312).

321220122000 is an abundant number, since it is smaller than the sum of its proper divisors (722301552624).

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

321220122000 is a wasteful number, since it uses less digits than its factorization.

321220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408834 (or 408818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 321220122000 its reverse (221022123), we get a palindrome (321441144123).

The spelling of 321220122000 in words is "three hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand".