22011122211120 has 640 divisors, whose sum is σ = 87758748794880. Its totient is φ = 5028700879872.

The previous prime is 22011122211083. The next prime is 22011122211137. The reversal of 22011122211120 is 2111222111022.

22011122211120 is a `hidden beast` number, since 220 + 1 + 112 + 2 + 211 + 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 = 22011122211093 and 22011122211102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4326933217 + ... + 4326938303.

It is an arithmetic number, because the mean of its divisors is an integer number (137123044992).

Almost surely, 2^{22011122211120} is an apocalyptic number.

22011122211120 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 22011122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43879374397440).

22011122211120 is an abundant number, since it is smaller than the sum of its proper divisors (65747626583760).

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

22011122211120 is an equidigital number, since it uses as much as digits as its factorization.

22011122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8637 counting only the distinct ones).

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

Adding to 22011122211120 its reverse (2111222111022), we get a palindrome (24122344322142).

The spelling of 22011122211120 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".