121970304 has 96 divisors (see below), whose sum is σ = 353246400. Its totient is φ = 40395264.

The previous prime is 121970297. The next prime is 121970309. The reversal of 121970304 is 403079121.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (121970309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 275107 + ... + 275549.

It is an arithmetic number, because the mean of its divisors is an integer number (3679650).

Almost surely, 2^121970304 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 121970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176623200).

121970304 is an abundant number, since it is smaller than the sum of its proper divisors (231276096).

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

121970304 is a wasteful number, since it uses less digits than its factorization.

121970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121970304 is about 11044.0166606176. The cubic root of 121970304 is about 495.9273219908.

The spelling of 121970304 in words is "one hundred twenty-one million, nine hundred seventy thousand, three hundred four".