22103013120 has 288 divisors, whose sum is σ = 74578855680. Its totient is φ = 5563514880.

The previous prime is 22103013109. The next prime is 22103013151. The reversal of 22103013120 is 2131030122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22103013120.

It is a congruent number.

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, 35823052 + ... + 35823668.

It is an arithmetic number, because the mean of its divisors is an integer number (258954360).

Almost surely, 2^22103013120 is an apocalyptic number.

22103013120 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 22103013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37289427840).

22103013120 is an abundant number, since it is smaller than the sum of its proper divisors (52475842560).

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

22103013120 is a wasteful number, since it uses less digits than its factorization.

22103013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22103013120 its reverse (2131030122), we get a palindrome (24234043242).

The spelling of 22103013120 in words is "twenty-two billion, one hundred three million, thirteen thousand, one hundred twenty".