321201321210 has 640 divisors, whose sum is σ = 1103181742080. Its totient is φ = 65125555200.

The previous prime is 321201321191. The next prime is 321201321313. The reversal of 321201321210 is 12123102123.

321201321210 is a `hidden beast` number, since 321 + 2 + 0 + 1 + 321 + 21 + 0 = 666.

321201321210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 702847302 + ... + 702847758.

It is an arithmetic number, because the mean of its divisors is an integer number (1723721472).

Almost surely, 2^321201321210 is an apocalyptic number.

321201321210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321201321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551590871040).

321201321210 is an abundant number, since it is smaller than the sum of its proper divisors (781980420870).

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

321201321210 is a wasteful number, since it uses less digits than its factorization.

321201321210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321201321210 its reverse (12123102123), we get a palindrome (333324423333).

It can be divided in two parts, 321201 and 321210, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 321201321210 in words is "three hundred twenty-one billion, two hundred one million, three hundred twenty-one thousand, two hundred ten".