22211111211120 has 960 divisors, whose sum is σ = 87021734252544. Its totient is φ = 5223964078080.

The previous prime is 22211111211077. The next prime is 22211111211131. The reversal of 22211111211120 is 2111211111222.

It is a happy number.

22211111211120 is a `hidden beast` number, since 2 + 221 + 1 + 111 + 211 + 120 = 666.

It is a super-2 number, since 2×22211111211120² (a number of 27 digits) contains 22 as substring.

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 = 22211111211093 and 22211111211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8027143977 + ... + 8027146743.

Almost surely, 2^{22211111211120} is an apocalyptic number.

22211111211120 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 22211111211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43510867126272).

22211111211120 is an abundant number, since it is smaller than the sum of its proper divisors (64810623041424).

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

22211111211120 is a wasteful number, since it uses less digits than its factorization.

22211111211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22211111211120 its reverse (2111211111222), we get a palindrome (24322322322342).

The spelling of 22211111211120 in words is "twenty-two trillion, two hundred eleven billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".