22142230401312 has 960 divisors, whose sum is σ = 78404299142400. Its totient is φ = 6123614515200.

The previous prime is 22142230401307. The next prime is 22142230401367. The reversal of 22142230401312 is 21310403224122.

22142230401312 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 223 + 0 + 401 + 31 + 2 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4775117458 + ... + 4775122094.

It is an arithmetic number, because the mean of its divisors is an integer number (81671144940).

Almost surely, 2^{22142230401312} 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 22142230401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39202149571200).

22142230401312 is an abundant number, since it is smaller than the sum of its proper divisors (56262068741088).

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

22142230401312 is a wasteful number, since it uses less digits than its factorization.

22142230401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4821 counting only the distinct ones).

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

Adding to 22142230401312 its reverse (21310403224122), we get a palindrome (43452633625434).

The spelling of 22142230401312 in words is "twenty-two trillion, one hundred forty-two billion, two hundred thirty million, four hundred one thousand, three hundred twelve".