121714560 has 384 divisors, whose sum is σ = 489771360. Its totient is φ = 27525120.

The previous prime is 121714547. The next prime is 121714561. The reversal of 121714560 is 65417121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121714561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077064 + ... + 1077176.

Almost surely, 2^121714560 is an apocalyptic number.

121714560 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 121714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244885680).

121714560 is an abundant number, since it is smaller than the sum of its proper divisors (368056800).

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

121714560 is a wasteful number, since it uses less digits than its factorization.

121714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 121714560 is about 11032.4321887787. The cubic root of 121714560 is about 495.5804638317.

The spelling of 121714560 in words is "one hundred twenty-one million, seven hundred fourteen thousand, five hundred sixty".