121917120 has 112 divisors (see below), whose sum is σ = 416905440. Its totient is φ = 30007296.

The previous prime is 121917077. The next prime is 121917127. The reversal of 121917120 is 21719121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121917127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7596 + ... + 17364.

It is an arithmetic number, because the mean of its divisors is an integer number (3722370).

Almost surely, 2^121917120 is an apocalyptic number.

121917120 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 121917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208452720).

121917120 is an abundant number, since it is smaller than the sum of its proper divisors (294988320).

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

121917120 is a wasteful number, since it uses less digits than its factorization.

121917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 121917120 is about 11041.6085784636. The cubic root of 121917120 is about 495.8552300352.

The spelling of 121917120 in words is "one hundred twenty-one million, nine hundred seventeen thousand, one hundred twenty".