20211221111120 has 160 divisors (see below), whose sum is σ = 51469295754240. Its totient is φ = 7335295672320.

The previous prime is 20211221111117. The next prime is 20211221111141. The reversal of 20211221111120 is 2111112211202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 914068865 + ... + 914090975.

It is an arithmetic number, because the mean of its divisors is an integer number (321683098464).

Almost surely, 2^{20211221111120} is an apocalyptic number.

20211221111120 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 20211221111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734647877120).

20211221111120 is an abundant number, since it is smaller than the sum of its proper divisors (31258074643120).

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

20211221111120 is a wasteful number, since it uses less digits than its factorization.

20211221111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37093 (or 37087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 20211221111120 its reverse (2111112211202), we get a palindrome (22322333322322).

The spelling of 20211221111120 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".