121322112 has 64 divisors (see below), whose sum is σ = 331010400. Its totient is φ = 39343104.

The previous prime is 121322101. The next prime is 121322129. The reversal of 121322112 is 211223121.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 121322091 and 121322100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9939 + ... + 18477.

Almost surely, 2^121322112 is an apocalyptic number.

121322112 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 121322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165505200).

121322112 is an abundant number, since it is smaller than the sum of its proper divisors (209688288).

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

121322112 is an equidigital number, since it uses as much as digits as its factorization.

121322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593 (or 8581 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 121322112 is about 11014.6317233033. The cubic root of 121322112 is about 495.0472518917.

Adding to 121322112 its reverse (211223121), we get a palindrome (332545233).

The spelling of 121322112 in words is "one hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".