22123124444304 has 120 divisors (see below), whose sum is σ = 67062054029880. Its totient is φ = 6767767627776.

The previous prime is 22123124444273. The next prime is 22123124444329. The reversal of 22123124444304 is 40344442132122.

22123124444304 is a `hidden beast` number, since 2 + 212 + 3 + 1 + 2 + 4 + 4 + 4 + 430 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82916354304 + 22040208090000 = 287952^2 + 4694700^2 .

It is a super-3 number, since 3×22123124444304³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33831949 + ... + 34479660.

It is an arithmetic number, because the mean of its divisors is an integer number (558850450249).

Almost surely, 2^{22123124444304} is an apocalyptic number.

22123124444304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22123124444304 is an abundant number, since it is smaller than the sum of its proper divisors (44938929585576).

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

22123124444304 is a wasteful number, since it uses less digits than its factorization.

22123124444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68311809 (or 68311800 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22123124444304 its reverse (40344442132122), we get a palindrome (62467566576426).

The spelling of 22123124444304 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-four million, four hundred forty-four thousand, three hundred four".