121927680 has 432 divisors, whose sum is σ = 509778360. Its totient is φ = 27869184.

The previous prime is 121927679. The next prime is 121927717. The reversal of 121927680 is 86729121.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17418237 + ... + 17418243.

Almost surely, 2^121927680 is an apocalyptic number.

121927680 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 121927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254889180).

121927680 is an abundant number, since it is smaller than the sum of its proper divisors (387850680).

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

121927680 is an frugal number, since it uses more digits than its factorization.

121927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121927680 is about 11042.0867593041. The cubic root of 121927680 is about 495.8695459903.

The spelling of 121927680 in words is "one hundred twenty-one million, nine hundred twenty-seven thousand, six hundred eighty".