22213311120 has 1920 divisors, whose sum is σ = 111142886400. Its totient is φ = 3901685760.

The previous prime is 22213311097. The next prime is 22213311181. The reversal of 22213311120 is 2111331222.

22213311120 is a `hidden beast` number, since 2 + 221 + 331 + 112 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 22213311093 and 22213311102.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 600359742 + ... + 600359778.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920).

Almost surely, 2^22213311120 is an apocalyptic number.

22213311120 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 22213311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55571443200).

22213311120 is an abundant number, since it is smaller than the sum of its proper divisors (88929575280).

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

22213311120 is a wasteful number, since it uses less digits than its factorization.

22213311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22213311120 its reverse (2111331222), we get a palindrome (24324642342).

It can be divided in two parts, 22213 and 311120, that added together give a palindrome (333333).

The spelling of 22213311120 in words is "twenty-two billion, two hundred thirteen million, three hundred eleven thousand, one hundred twenty".