121814064 has 80 divisors (see below), whose sum is σ = 359148640. Its totient is φ = 39502080.

The previous prime is 121814059. The next prime is 121814071. The reversal of 121814064 is 460418121.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12174 + ... + 19794.

It is an arithmetic number, because the mean of its divisors is an integer number (4489358).

Almost surely, 2^121814064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121814064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179574320).

121814064 is an abundant number, since it is smaller than the sum of its proper divisors (237334576).

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

121814064 is a wasteful number, since it uses less digits than its factorization.

121814064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7663 counting only the distinct ones).

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

The square root of 121814064 is about 11036.9408805158. The cubic root of 121814064 is about 495.7154759088.

The spelling of 121814064 in words is "one hundred twenty-one million, eight hundred fourteen thousand, sixty-four".