121706640 has 240 divisors, whose sum is σ = 453113856. Its totient is φ = 29272320.

The previous prime is 121706623. The next prime is 121706659. The reversal of 121706640 is 46607121.

121706640 is a `hidden beast` number, since 1 + 2 + 17 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958257 + ... + 958383.

Almost surely, 2^121706640 is an apocalyptic number.

121706640 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 121706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226556928).

121706640 is an abundant number, since it is smaller than the sum of its proper divisors (331407216).

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

121706640 is a wasteful number, since it uses less digits than its factorization.

121706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 121706640 is about 11032.0732412362. The cubic root of 121706640 is about 495.5697144127.

The spelling of 121706640 in words is "one hundred twenty-one million, seven hundred six thousand, six hundred forty".