21212300321212 has 216 divisors, whose sum is σ = 54010879347600. Its totient is φ = 7180044318720.

The previous prime is 21212300321131. The next prime is 21212300321309.

21212300321212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4481914 + ... + 7906462.

It is an arithmetic number, because the mean of its divisors is an integer number (250050367350).

Almost surely, 2^{21212300321212} is an apocalyptic number.

21212300321212 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 21212300321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005439673800).

21212300321212 is an abundant number, since it is smaller than the sum of its proper divisors (32798579026388).

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

21212300321212 is a wasteful number, since it uses less digits than its factorization.

21212300321212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424621 (or 3424599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 21212300 and 321212, that added together give a palindrome (21533512).

The spelling of 21212300321212 in words is "twenty-one trillion, two hundred twelve billion, three hundred million, three hundred twenty-one thousand, two hundred twelve".