121488480 has 144 divisors (see below), whose sum is σ = 417493440. Its totient is φ = 32169984.

The previous prime is 121488463. The next prime is 121488509. The reversal of 121488480 is 84884121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 343984 + ... + 344336.

It is an arithmetic number, because the mean of its divisors is an integer number (2899260).

Almost surely, 2^121488480 is an apocalyptic number.

121488480 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 121488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208746720).

121488480 is an abundant number, since it is smaller than the sum of its proper divisors (296004960).

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

121488480 is a wasteful number, since it uses less digits than its factorization.

121488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 121488480 is about 11022.1812723254. The cubic root of 121488480 is about 495.2734332584.

It can be divided in two parts, 121 and 488480, that added together give a square (488601 = 699²).

The spelling of 121488480 in words is "one hundred twenty-one million, four hundred eighty-eight thousand, four hundred eighty".