21210333301212 has 192 divisors, whose sum is σ = 54966420633600. Its totient is φ = 6312241440000.

The previous prime is 21210333301163. The next prime is 21210333301231.

21210333301212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333108787 + ... + 2333117877.

It is an arithmetic number, because the mean of its divisors is an integer number (286283440800).

Almost surely, 2^{21210333301212} is an apocalyptic number.

21210333301212 is a gapful number since it is divisible by the number (22) 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 21210333301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483210316800).

21210333301212 is an abundant number, since it is smaller than the sum of its proper divisors (33756087332388).

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

21210333301212 is a wasteful number, since it uses less digits than its factorization.

21210333301212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2121033 and 3301212, that added together give a palindrome (5422245).

The spelling of 21210333301212 in words is "twenty-one trillion, two hundred ten billion, three hundred thirty-three million, three hundred one thousand, two hundred twelve".