121635360 has 288 divisors, whose sum is σ = 517974912. Its totient is φ = 25251840.

The previous prime is 121635343. The next prime is 121635361. The reversal of 121635360 is 63536121.

121635360 is a `hidden beast` number, since 1 + 21 + 635 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (121635361) 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, 110332 + ... + 111428.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 2^121635360 is an apocalyptic number.

121635360 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 121635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

121635360 is an abundant number, since it is smaller than the sum of its proper divisors (396339552).

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

121635360 is a wasteful number, since it uses less digits than its factorization.

121635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 121635360 is about 11028.8421876460. The cubic root of 121635360 is about 495.4729486498.

The spelling of 121635360 in words is "one hundred twenty-one million, six hundred thirty-five thousand, three hundred sixty".