20021120211200 has 216 divisors, whose sum is σ = 52482738655368. Its totient is φ = 7535594045440.

The previous prime is 20021120211199. The next prime is 20021120211203. The reversal of 20021120211200 is 211202112002.

It can be written as a sum of positive squares in 12 ways, for example, as 1519835289856 + 18501284921344 = 1232816^2 + 4301312^2 .

It is a super-2 number, since 2×20021120211200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20021120211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521459204 + ... + 521497596.

It is an arithmetic number, because the mean of its divisors is an integer number (242975641923).

Almost surely, 2^{20021120211200} is an apocalyptic number.

20021120211200 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 20021120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241369327684).

20021120211200 is an abundant number, since it is smaller than the sum of its proper divisors (32461618444168).

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

20021120211200 is a wasteful number, since it uses less digits than its factorization.

20021120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43229 (or 43210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021120211200 its reverse (211202112002), we get a palindrome (20232322323202).

The spelling of 20021120211200 in words is "twenty trillion, twenty-one billion, one hundred twenty million, two hundred eleven thousand, two hundred".