121506480 has 200 divisors, whose sum is σ = 447239232. Its totient is φ = 30468096.

The previous prime is 121506457. The next prime is 121506481. The reversal of 121506480 is 84605121.

121506480 is a `hidden beast` number, since 1 + 2 + 15 + 0 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121506481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 109609 + ... + 110711.

Almost surely, 2^121506480 is an apocalyptic number.

121506480 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 121506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223619616).

121506480 is an abundant number, since it is smaller than the sum of its proper divisors (325732752).

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

121506480 is a wasteful number, since it uses less digits than its factorization.

121506480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121506480 is about 11022.9977773744. The cubic root of 121506480 is about 495.2978923170.

The spelling of 121506480 in words is "one hundred twenty-one million, five hundred six thousand, four hundred eighty".