22144003221312 has 336 divisors, whose sum is σ = 75755018456640. Its totient is φ = 6324577459200.

The previous prime is 22144003221293. The next prime is 22144003221331. The reversal of 22144003221312 is 21312230044122.

22144003221312 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 400 + 3 + 221 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22144003221293) and next prime (22144003221331).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 242200887 + ... + 242292297.

Almost surely, 2^{22144003221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144003221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877509228320).

22144003221312 is an abundant number, since it is smaller than the sum of its proper divisors (53611015235328).

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

22144003221312 is a wasteful number, since it uses less digits than its factorization.

22144003221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94307 (or 94284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22144003221312 its reverse (21312230044122), we get a palindrome (43456233265434).

The spelling of 22144003221312 in words is "twenty-two trillion, one hundred forty-four billion, three million, two hundred twenty-one thousand, three hundred twelve".