121604814 has 40 divisors (see below), whose sum is σ = 274123080. Its totient is φ = 40291344.

The previous prime is 121604809. The next prime is 121604851. The reversal of 121604814 is 418406121.

It is a happy number.

121604814 is a `hidden beast` number, since 121 + 60 + 481 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25857 + ... + 30195.

It is an arithmetic number, because the mean of its divisors is an integer number (6853077).

Almost surely, 2^121604814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121604814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137061540).

121604814 is an abundant number, since it is smaller than the sum of its proper divisors (152518266).

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

121604814 is a wasteful number, since it uses less digits than its factorization.

121604814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121604814 is about 11027.4572771786. The cubic root of 121604814 is about 495.4314695279.

The spelling of 121604814 in words is "one hundred twenty-one million, six hundred four thousand, eight hundred fourteen".