121442112 has 112 divisors (see below), whose sum is σ = 389534400. Its totient is φ = 36794880.

The previous prime is 121442107. The next prime is 121442149. The reversal of 121442112 is 211244121.

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.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15814 + ... + 22202.

Almost surely, 2^121442112 is an apocalyptic number.

121442112 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 121442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194767200).

121442112 is an abundant number, since it is smaller than the sum of its proper divisors (268092288).

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

121442112 is a wasteful number, since it uses less digits than its factorization.

121442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6405 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121442112 is about 11020.0776766772. The cubic root of 121442112 is about 495.2104155939.

Adding to 121442112 its reverse (211244121), we get a palindrome (332686233).

The spelling of 121442112 in words is "one hundred twenty-one million, four hundred forty-two thousand, one hundred twelve".