121524480 has 432 divisors, whose sum is σ = 528038784. Its totient is φ = 25067520.

The previous prime is 121524463. The next prime is 121524497. The reversal of 121524480 is 84425121.

121524480 is a `hidden beast` number, since 1 + 215 + 2 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121524463) and next prime (121524497).

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 47 ways as a sum of consecutive naturals, for example, 886972 + ... + 887108.

It is an arithmetic number, because the mean of its divisors is an integer number (1222312).

Almost surely, 2^121524480 is an apocalyptic number.

121524480 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 121524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264019392).

121524480 is an abundant number, since it is smaller than the sum of its proper divisors (406514304).

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

121524480 is a wasteful number, since it uses less digits than its factorization.

121524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 121524480 is about 11023.8142219470. The cubic root of 121524480 is about 495.3223489601.

The spelling of 121524480 in words is "one hundred twenty-one million, five hundred twenty-four thousand, four hundred eighty".