121418080 has 144 divisors (see below), whose sum is σ = 353699136. Its totient is φ = 39137280.

The previous prime is 121418069. The next prime is 121418117. The reversal of 121418080 is 80814121.

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 23 ways as a sum of consecutive naturals, for example, 132825 + ... + 133735.

It is an arithmetic number, because the mean of its divisors is an integer number (2456244).

Almost surely, 2^121418080 is an apocalyptic number.

121418080 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 121418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176849568).

121418080 is an abundant number, since it is smaller than the sum of its proper divisors (232281056).

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

121418080 is a wasteful number, since it uses less digits than its factorization.

121418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 121418080 is about 11018.9872492893. The cubic root of 121418080 is about 495.1777479533.

The spelling of 121418080 in words is "one hundred twenty-one million, four hundred eighteen thousand, eighty".