22131042024320 has 128 divisors (see below), whose sum is σ = 54171633859200. Its totient is φ = 8641790279680.

The previous prime is 22131042024317. The next prime is 22131042024353. The reversal of 22131042024320 is 2342024013122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22131042024320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755440 + ... + 12646800.

It is an arithmetic number, because the mean of its divisors is an integer number (423215889525).

Almost surely, 2^{22131042024320} is an apocalyptic number.

22131042024320 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 22131042024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085816929600).

22131042024320 is an abundant number, since it is smaller than the sum of its proper divisors (32040591834880).

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

22131042024320 is a wasteful number, since it uses less digits than its factorization.

22131042024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891816 (or 1891804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22131042024320 its reverse (2342024013122), we get a palindrome (24473066037442).

The spelling of 22131042024320 in words is "twenty-two trillion, one hundred thirty-one billion, forty-two million, twenty-four thousand, three hundred twenty".