1122122112 has 128 divisors (see below), whose sum is σ = 3076254720. Its totient is φ = 362188800.

The previous prime is 1122122087. The next prime is 1122122117. The reversal of 1122122112 is 2112212211.

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

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 junction number, because it is equal to n+sod(n) for n = 1122122091 and 1122122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140537 + ... + 4140807.

It is an arithmetic number, because the mean of its divisors is an integer number (24033240).

Almost surely, 2^1122122112 is an apocalyptic number.

1122122112 is a gapful number since it is divisible by the number (12) 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 1122122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538127360).

1122122112 is an abundant number, since it is smaller than the sum of its proper divisors (1954132608).

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

1122122112 is a wasteful number, since it uses less digits than its factorization.

1122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 1122122112 is about 33498.0911694980. The cubic root of 1122122112 is about 1039.1543026283.

Adding to 1122122112 its reverse (2112212211), we get a palindrome (3234334323).

Subtracting 1122122112 from its reverse (2112212211), we obtain a palindrome (990090099).

It can be divided in two parts, 112212211 and 2, that multiplied together give a palindrome (224424422).

The spelling of 1122122112 in words is "one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".