121308480 has 168 divisors, whose sum is σ = 423699432. Its totient is φ = 31850496.

The previous prime is 121308469. The next prime is 121308503. The reversal of 121308480 is 84803121.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 70157376 = 7152^2 + 8376^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 209952 + ... + 210528.

Almost surely, 2^121308480 is an apocalyptic number.

121308480 is a gapful number since it is divisible by the number (10) 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 121308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849716).

121308480 is an abundant number, since it is smaller than the sum of its proper divisors (302390952).

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

121308480 is a wasteful number, since it uses less digits than its factorization.

121308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121308480 is about 11014.0128926745. The cubic root of 121308480 is about 495.0287096908.

The spelling of 121308480 in words is "one hundred twenty-one million, three hundred eight thousand, four hundred eighty".