121678564 has 48 divisors (see below), whose sum is σ = 250588800. Its totient is φ = 51673440.

The previous prime is 121678561. The next prime is 121678589. The reversal of 121678564 is 465876121.

It is not an unprimeable number, because it can be changed into a prime (121678561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179394 + ... + 180070.

It is an arithmetic number, because the mean of its divisors is an integer number (5220600).

Almost surely, 2^121678564 is an apocalyptic number.

121678564 is a gapful number since it is divisible by the number (14) 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 121678564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125294400).

121678564 is an abundant number, since it is smaller than the sum of its proper divisors (128910236).

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

121678564 is a wasteful number, since it uses less digits than its factorization.

121678564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 817 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 121678564 is about 11030.8006962323. The cubic root of 121678564 is about 495.5316045081.

The spelling of 121678564 in words is "one hundred twenty-one million, six hundred seventy-eight thousand, five hundred sixty-four".