121114240 has 64 divisors (see below), whose sum is σ = 311832360. Its totient is φ = 44716032.

The previous prime is 121114223. The next prime is 121114243. The reversal of 121114240 is 42411121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53348416 + 67765824 = 7304^2 + 8232^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121114243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042 + ... + 15598.

Almost surely, 2^121114240 is an apocalyptic number.

121114240 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 121114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155916180).

121114240 is an abundant number, since it is smaller than the sum of its proper divisors (190718120).

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

121114240 is a wasteful number, since it uses less digits than its factorization.

121114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14589 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 121114240 is about 11005.1915021957. The cubic root of 121114240 is about 494.7643540489.

Adding to 121114240 its reverse (42411121), we get a palindrome (163525361).

It can be divided in two parts, 1211 and 14240, that added together give a palindrome (15451).

The spelling of 121114240 in words is "one hundred twenty-one million, one hundred fourteen thousand, two hundred forty".