112212212122000 has 80 divisors (see below), whose sum is σ = 271354099302000. Its totient is φ = 44880754099200.

The previous prime is 112212212121917. The next prime is 112212212122009. The reversal of 112212212122000 is 221212212211.

It can be written as a sum of positive squares in 8 ways, for example, as 93525301039104 + 18686911082896 = 9670848^2 + 4322836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (112212212122009) 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 15 ways as a sum of consecutive naturals, for example, 19201726 + ... + 24354274.

It is an arithmetic number, because the mean of its divisors is an integer number (3391926241275).

Almost surely, 2^{112212212122000} is an apocalyptic number.

112212212122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212212122000 is an abundant number, since it is smaller than the sum of its proper divisors (159141887180000).

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

112212212122000 is a wasteful number, since it uses less digits than its factorization.

112212212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163461 (or 5163445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 112212212122000 its reverse (221212212211), we get a palindrome (112433424334211).

The spelling of 112212212122000 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twelve million, one hundred twenty-two thousand".