22102020212000 has 384 divisors, whose sum is σ = 59784770485440. Its totient is φ = 7992916377600.

The previous prime is 22102020211969. The next prime is 22102020212009. The reversal of 22102020212000 is 21202020122.

It can be written as a sum of positive squares in 32 ways, for example, as 2227221942544 + 19874798269456 = 1492388^2 + 4458116^2 .

It is not an unprimeable number, because it can be changed into a prime (22102020212009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388455554 + ... + 388512446.

Almost surely, 2^{22102020212000} is an apocalyptic number.

22102020212000 is a gapful number since it is divisible by the number (20) 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 22102020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892385242720).

22102020212000 is an abundant number, since it is smaller than the sum of its proper divisors (37682750273440).

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

22102020212000 is a wasteful number, since it uses less digits than its factorization.

22102020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57161 (or 57143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22102020212000 its reverse (21202020122), we get a palindrome (22123222232122).

The spelling of 22102020212000 in words is "twenty-two trillion, one hundred two billion, twenty million, two hundred twelve thousand".