321212100 has 288 divisors, whose sum is σ = 1099929600. Its totient is φ = 71539200.

The previous prime is 321212077. The next prime is 321212159. The reversal of 321212100 is 1212123.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2946846 + ... + 2946954.

It is an arithmetic number, because the mean of its divisors is an integer number (3819200).

Almost surely, 2^321212100 is an apocalyptic number.

321212100 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 321212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

321212100 is an abundant number, since it is smaller than the sum of its proper divisors (778717500).

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

321212100 is a wasteful number, since it uses less digits than its factorization.

321212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

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

The square root of 321212100 is about 17922.3910235214. The cubic root of 321212100 is about 684.8528996651.

Adding to 321212100 its reverse (1212123), we get a palindrome (322424223).

The spelling of 321212100 in words is "three hundred twenty-one million, two hundred twelve thousand, one hundred".