121364608 has 32 divisors (see below), whose sum is σ = 243058860. Its totient is φ = 60361728.

The previous prime is 121364569. The next prime is 121364641. The reversal of 121364608 is 806463121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 23116864 = 9912^2 + 4808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 121364608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22810 + ... + 27622.

Almost surely, 2^121364608 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 121364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121529430).

121364608 is an abundant number, since it is smaller than the sum of its proper divisors (121694252).

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

121364608 is an equidigital number, since it uses as much as digits as its factorization.

121364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 121364608 is about 11016.5606248048. The cubic root of 121364608 is about 495.1050458965.

The spelling of 121364608 in words is "one hundred twenty-one million, three hundred sixty-four thousand, six hundred eight".