121291955705 has 24 divisors (see below), whose sum is σ = 149966895960. Its totient is φ = 94173465600.

The previous prime is 121291955683. The next prime is 121291955711. The reversal of 121291955705 is 507559192121.

It can be written as a sum of positive squares in 12 ways, for example, as 26429881 + 121265525824 = 5141^2 + 348232^2 .

It is not a de Polignac number, because 121291955705 - 2¹² = 121291951609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121291955705.

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, 2722751 + ... + 2766939.

It is an arithmetic number, because the mean of its divisors is an integer number (6248620665).

Almost surely, 2^121291955705 is an apocalyptic number.

It is an amenable number.

121291955705 is a deficient number, since it is larger than the sum of its proper divisors (28674940255).

121291955705 is an equidigital number, since it uses as much as digits as its factorization.

121291955705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44669 (or 44632 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 47.

The spelling of 121291955705 in words is "one hundred twenty-one billion, two hundred ninety-one million, nine hundred fifty-five thousand, seven hundred five".