121313408 has 64 divisors (see below), whose sum is σ = 255571200. Its totient is φ = 57243648.

The previous prime is 121313389. The next prime is 121313419. The reversal of 121313408 is 804313121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261785 + ... + 262247.

It is an arithmetic number, because the mean of its divisors is an integer number (3993300).

Almost surely, 2^121313408 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 121313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

121313408 is an abundant number, since it is smaller than the sum of its proper divisors (134257792).

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

121313408 is an equidigital number, since it uses as much as digits as its factorization.

121313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 121313408 is about 11014.2366054121. The cubic root of 121313408 is about 495.0354129003.

Adding to 121313408 its reverse (804313121), we get a palindrome (925626529).

The spelling of 121313408 in words is "one hundred twenty-one million, three hundred thirteen thousand, four hundred eight".