221112122000000 has 448 divisors, whose sum is σ = 686480219190720. Its totient is φ = 68918016000000.

The previous prime is 221112121999931. The next prime is 221112122000023. The reversal of 221112122000000 is 221211122.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153282104 + ... + 154717896.

Almost surely, 2^{221112122000000} is an apocalyptic number.

221112122000000 is a gapful number since it is divisible by the number (20) 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 221112122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343240109595360).

221112122000000 is an abundant number, since it is smaller than the sum of its proper divisors (465368097190720).

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

221112122000000 is an frugal number, since it uses more digits than its factorization.

221112122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435855 (or 1435818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221112122000000 its reverse (221211122), we get a palindrome (221112343211122).

The spelling of 221112122000000 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-two million", and thus it is an aban number.