20211221112000 has 448 divisors, whose sum is σ = 69726701491200. Its totient is φ = 5148839731200.

The previous prime is 20211221111863. The next prime is 20211221112007. The reversal of 20211221112000 is 21112211202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20211221112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446545371 + ... + 446590629.

Almost surely, 2^{20211221112000} is an apocalyptic number.

20211221112000 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 20211221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863350745600).

20211221112000 is an abundant number, since it is smaller than the sum of its proper divisors (49515480379200).

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

20211221112000 is a wasteful number, since it uses less digits than its factorization.

20211221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46121 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20211221112000 its reverse (21112211202), we get a palindrome (20232333323202).

The spelling of 20211221112000 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand".