121353344 has 128 divisors (see below), whose sum is σ = 303160320. Its totient is φ = 47185920.

The previous prime is 121353343. The next prime is 121353373. The reversal of 121353344 is 443353121.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (121353343) 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 15 ways as a sum of consecutive naturals, for example, 472064 + ... + 472320.

It is an arithmetic number, because the mean of its divisors is an integer number (2368440).

Almost surely, 2^121353344 is an apocalyptic number.

121353344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580160).

121353344 is an abundant number, since it is smaller than the sum of its proper divisors (181806976).

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

121353344 is a wasteful number, since it uses less digits than its factorization.

121353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 121353344 is about 11016.0493826054. The cubic root of 121353344 is about 495.0897283179.

The spelling of 121353344 in words is "one hundred twenty-one million, three hundred fifty-three thousand, three hundred forty-four".