20211110221120 has 448 divisors, whose sum is σ = 59946083043840. Its totient is φ = 6319711715328.

The previous prime is 20211110221117. The next prime is 20211110221139. The reversal of 20211110221120 is 2112201111202.

20211110221120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20211110221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20211110221094 and 20211110221103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4838664472 + ... + 4838668648.

It is an arithmetic number, because the mean of its divisors is an integer number (133808221080).

Almost surely, 2^{20211110221120} is an apocalyptic number.

20211110221120 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 20211110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973041521920).

20211110221120 is an abundant number, since it is smaller than the sum of its proper divisors (39734972822720).

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

20211110221120 is a wasteful number, since it uses less digits than its factorization.

20211110221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20211110221120 its reverse (2112201111202), we get a palindrome (22323311332322).

The spelling of 20211110221120 in words is "twenty trillion, two hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".