2111221322112 has 128 divisors (see below), whose sum is σ = 6786068682240. Its totient is φ = 567723368448.

The previous prime is 2111221322071. The next prime is 2111221322113. The reversal of 2111221322112 is 2112231221112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2111221322112³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111221322113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23055028 + ... + 23146419.

It is an arithmetic number, because the mean of its divisors is an integer number (53016161580).

Almost surely, 2^{2111221322112} is an apocalyptic number.

It is an amenable number.

2111221322112 is an abundant number, since it is smaller than the sum of its proper divisors (4674847360128).

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

2111221322112 is a wasteful number, since it uses less digits than its factorization.

2111221322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46201488 (or 46201476 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 2111221322112 its reverse (2112231221112), we get a palindrome (4223452543224).

The spelling of 2111221322112 in words is "two trillion, one hundred eleven billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".