121376560 has 80 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 44990208.

The previous prime is 121376551. The next prime is 121376561. The reversal of 121376560 is 65673121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (121376561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70591 + ... + 72289.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^121376560 is an apocalyptic number.

121376560 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 121376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

121376560 is an abundant number, since it is smaller than the sum of its proper divisors (182175440).

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

121376560 is a wasteful number, since it uses less digits than its factorization.

121376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 121376560 is about 11017.1030675037. The cubic root of 121376560 is about 495.1212980296.

The spelling of 121376560 in words is "one hundred twenty-one million, three hundred seventy-six thousand, five hundred sixty".