121567680 has 336 divisors, whose sum is σ = 479291904. Its totient is φ = 28016640.

The previous prime is 121567679. The next prime is 121567687. The reversal of 121567680 is 86765121.

121567680 is a `hidden beast` number, since 12 + 1 + 567 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121567687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636385 + ... + 636575.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^121567680 is an apocalyptic number.

121567680 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 121567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

121567680 is an abundant number, since it is smaller than the sum of its proper divisors (357724224).

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

121567680 is a wasteful number, since it uses less digits than its factorization.

121567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 121567680 is about 11025.7734422579. The cubic root of 121567680 is about 495.3810350521.

The spelling of 121567680 in words is "one hundred twenty-one million, five hundred sixty-seven thousand, six hundred eighty".