121120314 has 64 divisors (see below), whose sum is σ = 291416832. Its totient is φ = 32832000.

The previous prime is 121120297. The next prime is 121120339. The reversal of 121120314 is 413021121.

It is a junction number, because it is equal to n+sod(n) for n = 121120293 and 121120302.

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 31 ways as a sum of consecutive naturals, for example, 62764 + ... + 64664.

It is an arithmetic number, because the mean of its divisors is an integer number (4553388).

Almost surely, 2^121120314 is an apocalyptic number.

121120314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145708416).

121120314 is an abundant number, since it is smaller than the sum of its proper divisors (170296518).

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

121120314 is a wasteful number, since it uses less digits than its factorization.

121120314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121120314 is about 11005.4674594040. The cubic root of 121120314 is about 494.7726248860.

Adding to 121120314 its reverse (413021121), we get a palindrome (534141435).

The spelling of 121120314 in words is "one hundred twenty-one million, one hundred twenty thousand, three hundred fourteen".