321120000 has 270 divisors, whose sum is σ = 1162152992. Its totient is φ = 85248000.

The previous prime is 321119993. The next prime is 321120013. The reversal of 321120000 is 21123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439889 + ... + 1440111.

Almost surely, 2^321120000 is an apocalyptic number.

321120000 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 321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581076496).

321120000 is an abundant number, since it is smaller than the sum of its proper divisors (841032992).

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

321120000 is an equidigital number, since it uses as much as digits as its factorization.

321120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 321120000 is about 17919.8214276817. The cubic root of 321120000 is about 684.7874382649.

Adding to 321120000 its reverse (21123), we get a palindrome (321141123).

The spelling of 321120000 in words is "three hundred twenty-one million, one hundred twenty thousand".