121226112 has 128 divisors (see below), whose sum is σ = 408979200. Its totient is φ = 34629120.

The previous prime is 121226101. The next prime is 121226153. The reversal of 121226112 is 211622121.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21687 + ... + 26697.

It is an arithmetic number, because the mean of its divisors is an integer number (3195150).

Almost surely, 2^121226112 is an apocalyptic number.

121226112 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 121226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204489600).

121226112 is an abundant number, since it is smaller than the sum of its proper divisors (287753088).

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

121226112 is an equidigital number, since it uses as much as digits as its factorization.

121226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5023 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 121226112 is about 11010.2730211380. The cubic root of 121226112 is about 494.9166434477.

Adding to 121226112 its reverse (211622121), we get a palindrome (332848233).

The spelling of 121226112 in words is "one hundred twenty-one million, two hundred twenty-six thousand, one hundred twelve".