121506616305 has 24 divisors (see below), whose sum is σ = 212696738280. Its totient is φ = 64161907200.

The previous prime is 121506616279. The next prime is 121506616411. The reversal of 121506616305 is 503616605121.

121506616305 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 6 + 616 + 30 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33634092816 + 87872523489 = 183396^2 + 296433^2 .

It is not a de Polignac number, because 121506616305 - 2⁶ = 121506616241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121506616305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13362520 + ... + 13371609.

It is an arithmetic number, because the mean of its divisors is an integer number (8862364095).

Almost surely, 2^121506616305 is an apocalyptic number.

121506616305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121506616305 is a deficient number, since it is larger than the sum of its proper divisors (91190121975).

121506616305 is a wasteful number, since it uses less digits than its factorization.

121506616305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26734241 (or 26734238 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 121506616305 in words is "one hundred twenty-one billion, five hundred six million, six hundred sixteen thousand, three hundred five".