22231331304000 has 1792 divisors, whose sum is σ = 93725922361344. Its totient is φ = 4517793792000.

The previous prime is 22231331303947. The next prime is 22231331304001. The reversal of 22231331304000 is 40313313222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22231331304001) 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 255 ways as a sum of consecutive naturals, for example, 8323222665 + ... + 8323225335.

It is an arithmetic number, because the mean of its divisors is an integer number (52302412032).

Almost surely, 2^{22231331304000} is an apocalyptic number.

22231331304000 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 22231331304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46862961180672).

22231331304000 is an abundant number, since it is smaller than the sum of its proper divisors (71494591057344).

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

22231331304000 is a wasteful number, since it uses less digits than its factorization.

22231331304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22231331304000 its reverse (40313313222), we get a palindrome (22271644617222).

The spelling of 22231331304000 in words is "twenty-two trillion, two hundred thirty-one billion, three hundred thirty-one million, three hundred four thousand".