22312141104 has 320 divisors, whose sum is σ = 68967014400. Its totient is φ = 6139929600.

The previous prime is 22312141067. The next prime is 22312141141. The reversal of 22312141104 is 40114121322.

It is an interprime number because it is at equal distance from previous prime (22312141067) and next prime (22312141141).

It is a super-3 number, since 3×22312141104³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 78841347 + ... + 78841629.

It is an arithmetic number, because the mean of its divisors is an integer number (215521920).

Almost surely, 2^22312141104 is an apocalyptic number.

22312141104 is a gapful number since it is divisible by the number (24) 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 22312141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34483507200).

22312141104 is an abundant number, since it is smaller than the sum of its proper divisors (46654873296).

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

22312141104 is a wasteful number, since it uses less digits than its factorization.

22312141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22312141104 its reverse (40114121322), we get a palindrome (62426262426).

The spelling of 22312141104 in words is "twenty-two billion, three hundred twelve million, one hundred forty-one thousand, one hundred four".