22112101221120 has 216 divisors, whose sum is σ = 76512054528000. Its totient is φ = 5896060305408.

The previous prime is 22112101221113. The next prime is 22112101221131. The reversal of 22112101221120 is 2112210121122.

22112101221120 is a `hidden beast` number, since 2 + 211 + 210 + 1 + 221 + 1 + 20 = 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 = 22112101221093 and 22112101221102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147369496 + ... + 147519464.

Almost surely, 2^{22112101221120} is an apocalyptic number.

22112101221120 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 22112101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256027264000).

22112101221120 is an abundant number, since it is smaller than the sum of its proper divisors (54399953306880).

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

22112101221120 is a wasteful number, since it uses less digits than its factorization.

22112101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162795 (or 162778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112101221120 its reverse (2112210121122), we get a palindrome (24224311342242).

The spelling of 22112101221120 in words is "twenty-two trillion, one hundred twelve billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".