121350240 has 288 divisors, whose sum is σ = 464196096. Its totient is φ = 28615680.

The previous prime is 121350223. The next prime is 121350253. The reversal of 121350240 is 42053121.

121350240 is a `hidden beast` number, since 121 + 3 + 502 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 744399 + ... + 744561.

It is an arithmetic number, because the mean of its divisors is an integer number (1611792).

Almost surely, 2^121350240 is an apocalyptic number.

121350240 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 121350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048).

121350240 is an abundant number, since it is smaller than the sum of its proper divisors (342845856).

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

121350240 is a wasteful number, since it uses less digits than its factorization.

121350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121350240 is about 11015.9084963520. The cubic root of 121350240 is about 495.0855071140.

The spelling of 121350240 in words is "one hundred twenty-one million, three hundred fifty thousand, two hundred forty".