22121140 has 48 divisors (see below), whose sum is σ = 48580560. Its totient is φ = 8453120.

The previous prime is 22121137. The next prime is 22121159. The reversal of 22121140 is 4112122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 106276 + 22014864 = 326^2 + 4692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22121140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43206 + ... + 43714.

It is an arithmetic number, because the mean of its divisors is an integer number (1012095).

Almost surely, 2^22121140 is an apocalyptic number.

22121140 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 22121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290280).

22121140 is an abundant number, since it is smaller than the sum of its proper divisors (26459420).

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

22121140 is a wasteful number, since it uses less digits than its factorization.

22121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 22121140 is about 4703.3115992883. The cubic root of 22121140 is about 280.7172935481.

Adding to 22121140 its reverse (4112122), we get a palindrome (26233262).

The spelling of 22121140 in words is "twenty-two million, one hundred twenty-one thousand, one hundred forty".