22121313144040 has 128 divisors (see below), whose sum is σ = 57519597398400. Its totient is φ = 7572199265280.

The previous prime is 22121313144023. The next prime is 22121313144041. The reversal of 22121313144040 is 4044131312122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22121313144041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7114519 + ... + 9739558.

It is an arithmetic number, because the mean of its divisors is an integer number (449371854675).

Almost surely, 2^{22121313144040} is an apocalyptic number.

22121313144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121313144040 is an abundant number, since it is smaller than the sum of its proper divisors (35398284254360).

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

22121313144040 is a wasteful number, since it uses less digits than its factorization.

22121313144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16854275 (or 16854271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22121313144040 its reverse (4044131312122), we get a palindrome (26165444456162).

The spelling of 22121313144040 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred forty-four thousand, forty".