112122221221000 has 128 divisors (see below), whose sum is σ = 265028403276000. Its totient is φ = 44395831372800.

The previous prime is 112122221220929. The next prime is 112122221221007. The reversal of 112122221221000 is 122122221211.

It can be written as a sum of positive squares in 16 ways, for example, as 4898971343044 + 107223249877956 = 2213362^2 + 10354866^2 .

It is not an unprimeable number, because it can be changed into a prime (112122221221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42372874 + ... + 44941126.

Almost surely, 2^{112122221221000} is an apocalyptic number.

112122221221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132514201638000).

112122221221000 is an abundant number, since it is smaller than the sum of its proper divisors (152906182055000).

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

112122221221000 is a wasteful number, since it uses less digits than its factorization.

112122221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568716 (or 2568702 counting only the distinct ones).

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

Adding to 112122221221000 its reverse (122122221211), we get a palindrome (112244343442211).

It can be divided in two parts, 112122 and 221221000, that added together give a palindrome (221333122).

The spelling of 112122221221000 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand".