121809114 has 192 divisors, whose sum is σ = 349090560. Its totient is φ = 29859840.

The previous prime is 121809113. The next prime is 121809119. The reversal of 121809114 is 411908121.

It is not an unprimeable number, because it can be changed into a prime (121809113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1668582 + ... + 1668654.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^121809114 is an apocalyptic number.

121809114 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 121809114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

121809114 is an abundant number, since it is smaller than the sum of its proper divisors (227281446).

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

121809114 is a wasteful number, since it uses less digits than its factorization.

121809114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 121809114 is about 11036.7166313175. The cubic root of 121809114 is about 495.7087612357.

The spelling of 121809114 in words is "one hundred twenty-one million, eight hundred nine thousand, one hundred fourteen".