121614240 has 192 divisors, whose sum is σ = 431972352. Its totient is φ = 28492800.

The previous prime is 121614223. The next prime is 121614253. The reversal of 121614240 is 42416121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163309 + ... + 164051.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^121614240 is an apocalyptic number.

121614240 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 121614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

121614240 is an abundant number, since it is smaller than the sum of its proper divisors (310358112).

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

121614240 is a wasteful number, since it uses less digits than its factorization.

121614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121614240 is about 11027.8846566329. The cubic root of 121614240 is about 495.4442700529. Note that the first 3 decimals are identical.

The spelling of 121614240 in words is "one hundred twenty-one million, six hundred fourteen thousand, two hundred forty".