21210205609312 has 192 divisors, whose sum is σ = 43961159144448. Its totient is φ = 10064452608000.

The previous prime is 21210205609303. The next prime is 21210205609337. The reversal of 21210205609312 is 21390650201212.

It is a super-2 number, since 2×21210205609312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2696094403 + ... + 2696102269.

It is an arithmetic number, because the mean of its divisors is an integer number (228964370544).

Almost surely, 2^{21210205609312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210205609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980579572224).

21210205609312 is an abundant number, since it is smaller than the sum of its proper divisors (22750953535136).

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

21210205609312 is a wasteful number, since it uses less digits than its factorization.

21210205609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 21210205609312 in words is "twenty-one trillion, two hundred ten billion, two hundred five million, six hundred nine thousand, three hundred twelve".