122231044113312 has 96 divisors (see below), whose sum is σ = 321237820512000. Its totient is φ = 40695269142528.

The previous prime is 122231044113281. The next prime is 122231044113323. The reversal of 122231044113312 is 213311440132221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 122231044113312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784213564 + ... + 784369412.

It is an arithmetic number, because the mean of its divisors is an integer number (3346227297000).

Almost surely, 2^{122231044113312} is an apocalyptic number.

122231044113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122231044113312 is an abundant number, since it is smaller than the sum of its proper divisors (199006776398688).

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

122231044113312 is a wasteful number, since it uses less digits than its factorization.

122231044113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165518 (or 165510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 122231044113312 its reverse (213311440132221), we get a palindrome (335542484245533).

The spelling of 122231044113312 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, forty-four million, one hundred thirteen thousand, three hundred twelve".