22102221201120 has 576 divisors, whose sum is σ = 79098509992320. Its totient is φ = 5614653210624.

The previous prime is 22102221201101. The next prime is 22102221201191. The reversal of 22102221201120 is 2110212220122.

It is a happy number.

22102221201120 is a `hidden beast` number, since 2 + 210 + 222 + 120 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102221201093 and 22102221201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532832541 + ... + 532874019.

It is an arithmetic number, because the mean of its divisors is an integer number (137323802070).

Almost surely, 2^{22102221201120} is an apocalyptic number.

22102221201120 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 22102221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39549254996160).

22102221201120 is an abundant number, since it is smaller than the sum of its proper divisors (56996288791200).

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

22102221201120 is a wasteful number, since it uses less digits than its factorization.

22102221201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41747 (or 41736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102221201120 its reverse (2110212220122), we get a palindrome (24212433421242).

The spelling of 22102221201120 in words is "twenty-two trillion, one hundred two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".