21220225359312 has 320 divisors, whose sum is σ = 63730270208000. Its totient is φ = 5959546306560.

The previous prime is 21220225359283. The next prime is 21220225359317. The reversal of 21220225359312 is 21395352202212.

It is a super-2 number, since 2×21220225359312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220225359317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2046501264 + ... + 2046511632.

It is an arithmetic number, because the mean of its divisors is an integer number (199157094400).

Almost surely, 2^{21220225359312} 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 21220225359312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31865135104000).

21220225359312 is an abundant number, since it is smaller than the sum of its proper divisors (42510044848688).

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

21220225359312 is a wasteful number, since it uses less digits than its factorization.

21220225359312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 21220225359312 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-five million, three hundred fifty-nine thousand, three hundred twelve".