121112124 has 72 divisors (see below), whose sum is σ = 330352848. Its totient is φ = 34433280.

The previous prime is 121112113. The next prime is 121112129. The reversal of 121112124 is 421211121.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164862 + ... + 165594.

It is an arithmetic number, because the mean of its divisors is an integer number (4588234).

Almost surely, 2^121112124 is an apocalyptic number.

121112124 is a gapful number since it is divisible by the number (14) 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 121112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165176424).

121112124 is an abundant number, since it is smaller than the sum of its proper divisors (209240724).

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

121112124 is a wasteful number, since it uses less digits than its factorization.

121112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

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

The square root of 121112124 is about 11005.0953653296. The cubic root of 121112124 is about 494.7614726716.

Adding to 121112124 its reverse (421211121), we get a palindrome (542323245).

The spelling of 121112124 in words is "one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-four".