121416580 has 48 divisors (see below), whose sum is σ = 262652544. Its totient is φ = 47118080.

The previous prime is 121416571. The next prime is 121416613. The reversal of 121416580 is 85614121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215379 + ... + 215941.

It is an arithmetic number, because the mean of its divisors is an integer number (5471928).

Almost surely, 2^121416580 is an apocalyptic number.

121416580 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 121416580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131326272).

121416580 is an abundant number, since it is smaller than the sum of its proper divisors (141235964).

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

121416580 is a wasteful number, since it uses less digits than its factorization.

121416580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 121416580 is about 11018.9191847477. The cubic root of 121416580 is about 495.1757088016.

It can be divided in two parts, 12141 and 6580, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 121416580 in words is "one hundred twenty-one million, four hundred sixteen thousand, five hundred eighty".