2224431201312 has 72 divisors (see below), whose sum is σ = 6325903964016. Its totient is φ = 741456233856.

The previous prime is 2224431201269. The next prime is 2224431201323. The reversal of 2224431201312 is 2131021344222.

2224431201312 is a `hidden beast` number, since 2 + 2 + 2 + 443 + 1 + 201 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 12835623 + ... + 13007769.

It is an arithmetic number, because the mean of its divisors is an integer number (87859777278).

Almost surely, 2^{2224431201312} is an apocalyptic number.

It is an amenable number.

2224431201312 is an abundant number, since it is smaller than the sum of its proper divisors (4101472762704).

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

2224431201312 is a wasteful number, since it uses less digits than its factorization.

2224431201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217030 (or 217019 counting only the distinct ones).

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

Adding to 2224431201312 its reverse (2131021344222), we get a palindrome (4355452545534).

The spelling of 2224431201312 in words is "two trillion, two hundred twenty-four billion, four hundred thirty-one million, two hundred one thousand, three hundred twelve".