121315488 has 96 divisors (see below), whose sum is σ = 369081216. Its totient is φ = 34172928.

The previous prime is 121315487. The next prime is 121315511. The reversal of 121315488 is 884513121.

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 (121315487) 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 15 ways as a sum of consecutive naturals, for example, 47820 + ... + 50292.

It is an arithmetic number, because the mean of its divisors is an integer number (3844596).

Almost surely, 2^121315488 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 121315488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184540608).

121315488 is an abundant number, since it is smaller than the sum of its proper divisors (247765728).

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

121315488 is a wasteful number, since it uses less digits than its factorization.

121315488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2558 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 121315488 is about 11014.3310282559. The cubic root of 121315488 is about 495.0382421225.

The spelling of 121315488 in words is "one hundred twenty-one million, three hundred fifteen thousand, four hundred eighty-eight".