121959360 has 336 divisors, whose sum is σ = 462174336. Its totient is φ = 29392896.

The previous prime is 121959359. The next prime is 121959373. The reversal of 121959360 is 63959121.

121959360 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 593 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301094 + ... + 2301146.

Almost surely, 2^121959360 is an apocalyptic number.

121959360 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 121959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231087168).

121959360 is an abundant number, since it is smaller than the sum of its proper divisors (340214976).

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

121959360 is a wasteful number, since it uses less digits than its factorization.

121959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 121959360 is about 11043.5211775955. The cubic root of 121959360 is about 495.9124888968.

The spelling of 121959360 in words is "one hundred twenty-one million, nine hundred fifty-nine thousand, three hundred sixty".