121114120 has 48 divisors (see below), whose sum is σ = 289507140. Its totient is φ = 45591552.

The previous prime is 121114109. The next prime is 121114129. The reversal of 121114120 is 21411121.

It can be written as a sum of positive squares in 6 ways, for example, as 100520676 + 20593444 = 10026^2 + 4538^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121114120.

It is not an unprimeable number, because it can be changed into a prime (121114129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6322 + ... + 16798.

Almost surely, 2^121114120 is an apocalyptic number.

121114120 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 121114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144753570).

121114120 is an abundant number, since it is smaller than the sum of its proper divisors (168393020).

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

121114120 is a wasteful number, since it uses less digits than its factorization.

121114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 121114120 is about 11005.1860502220. The cubic root of 121114120 is about 494.7641906447.

Adding to 121114120 its reverse (21411121), we get a palindrome (142525241).

The spelling of 121114120 in words is "one hundred twenty-one million, one hundred fourteen thousand, one hundred twenty".