22111101120 has 224 divisors, whose sum is σ = 71910171648. Its totient is φ = 5753659392.

The previous prime is 22111101113. The next prime is 22111101143. The reversal of 22111101120 is 2110111122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22111101096 and 22111101105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23597292 + ... + 23598228.

It is an arithmetic number, because the mean of its divisors is an integer number (321027552).

Almost surely, 2^22111101120 is an apocalyptic number.

22111101120 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 22111101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35955085824).

22111101120 is an abundant number, since it is smaller than the sum of its proper divisors (49799070528).

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

22111101120 is a wasteful number, since it uses less digits than its factorization.

22111101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22111101120 its reverse (2110111122), we get a palindrome (24221212242).

The spelling of 22111101120 in words is "twenty-two billion, one hundred eleven million, one hundred one thousand, one hundred twenty".