112121240 has 128 divisors (see below), whose sum is σ = 320371200. Its totient is φ = 34298880.

The previous prime is 112121237. The next prime is 112121249. The reversal of 112121240 is 42121211.

It is a happy number.

It is a super-3 number, since 3×112121240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181412 + ... + 182028.

It is an arithmetic number, because the mean of its divisors is an integer number (2502900).

Almost surely, 2^112121240 is an apocalyptic number.

112121240 is a gapful number since it is divisible by the number (10) 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 112121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160185600).

112121240 is an abundant number, since it is smaller than the sum of its proper divisors (208249960).

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

112121240 is a wasteful number, since it uses less digits than its factorization.

112121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 112121240 is about 10588.7317465313. The cubic root of 112121240 is about 482.2023220457.

Adding to 112121240 its reverse (42121211), we get a palindrome (154242451).

The spelling of 112121240 in words is "one hundred twelve million, one hundred twenty-one thousand, two hundred forty".