121584960 has 336 divisors, whose sum is σ = 493873536. Its totient is φ = 26873856.

The previous prime is 121584943. The next prime is 121584961. The reversal of 121584960 is 69485121.

121584960 is a `hidden beast` number, since 12 + 1 + 584 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121584961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745839 + ... + 746001.

Almost surely, 2^121584960 is an apocalyptic number.

121584960 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 121584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246936768).

121584960 is an abundant number, since it is smaller than the sum of its proper divisors (372288576).

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

121584960 is a wasteful number, since it uses less digits than its factorization.

121584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121584960 is about 11026.5570329092. The cubic root of 121584960 is about 495.4045055961.

The spelling of 121584960 in words is "one hundred twenty-one million, five hundred eighty-four thousand, nine hundred sixty".