121815040 has 60 divisors (see below), whose sum is σ = 292543776. Its totient is φ = 48693248.

The previous prime is 121815011. The next prime is 121815079. The reversal of 121815040 is 40518121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81177 + ... + 82663.

Almost surely, 2^121815040 is an apocalyptic number.

121815040 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 121815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146271888).

121815040 is an abundant number, since it is smaller than the sum of its proper divisors (170728736).

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

121815040 is an frugal number, since it uses more digits than its factorization.

121815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 121815040 is about 11036.9850955775. The cubic root of 121815040 is about 495.7167998310.

The spelling of 121815040 in words is "one hundred twenty-one million, eight hundred fifteen thousand, forty".