22110021120 has 320 divisors, whose sum is σ = 77646387456. Its totient is φ = 5322670080.

The previous prime is 22110021119. The next prime is 22110021121. The reversal of 22110021120 is 2112001122.

It is an interprime number because it is at equal distance from previous prime (22110021119) and next prime (22110021121).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 22110021096 and 22110021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13262527 + ... + 13264193.

Almost surely, 2^22110021120 is an apocalyptic number.

22110021120 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 22110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38823193728).

22110021120 is an abundant number, since it is smaller than the sum of its proper divisors (55536366336).

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

22110021120 is a wasteful number, since it uses less digits than its factorization.

22110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22110021120 its reverse (2112001122), we get a palindrome (24222022242).

It can be divided in two parts, 2211002 and 1120, that added together give a palindrome (2212122).

The spelling of 22110021120 in words is "twenty-two billion, one hundred ten million, twenty-one thousand, one hundred twenty".