22314425120 has 96 divisors (see below), whose sum is σ = 56845923120. Its totient is φ = 8228597760.

The previous prime is 22314425101. The next prime is 22314425123. The reversal of 22314425120 is 2152441322.

It can be written as a sum of positive squares in 8 ways, for example, as 9086664976 + 13227760144 = 95324^2 + 115012^2 .

It is a super-3 number, since 3×22314425120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22314425120.

It is not an unprimeable number, because it can be changed into a prime (22314425123) 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 15 ways as a sum of consecutive naturals, for example, 1717850 + ... + 1730790.

Almost surely, 2^22314425120 is an apocalyptic number.

22314425120 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 22314425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422961560).

22314425120 is an abundant number, since it is smaller than the sum of its proper divisors (34531498000).

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

22314425120 is a wasteful number, since it uses less digits than its factorization.

22314425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798 (or 13790 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 22314425120 its reverse (2152441322), we get a palindrome (24466866442).

The spelling of 22314425120 in words is "twenty-two billion, three hundred fourteen million, four hundred twenty-five thousand, one hundred twenty".