22121102211120 has 480 divisors, whose sum is σ = 83041299641664. Its totient is φ = 5230573977600.

The previous prime is 22121102211119. The next prime is 22121102211133. The reversal of 22121102211120 is 2111220112122.

22121102211120 is a `hidden beast` number, since 2 + 212 + 110 + 221 + 1 + 120 = 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 = 22121102211093 and 22121102211102.

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 95 ways as a sum of consecutive naturals, for example, 2012284344 + ... + 2012295336.

Almost surely, 2^{22121102211120} is an apocalyptic number.

22121102211120 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 22121102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41520649820832).

22121102211120 is an abundant number, since it is smaller than the sum of its proper divisors (60920197430544).

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

22121102211120 is a wasteful number, since it uses less digits than its factorization.

22121102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17261 (or 17252 counting only the distinct ones).

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

Adding to 22121102211120 its reverse (2111220112122), we get a palindrome (24232322323242).

The spelling of 22121102211120 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty".