11952830205 has 80 divisors (see below), whose sum is σ = 22122817200. Its totient is φ = 6169540608.

The previous prime is 11952830173. The next prime is 11952830221. The reversal of 11952830205 is 50203825911.

It can be written as a sum of positive squares in 8 ways, for example, as 1357627716 + 10595202489 = 36846^2 + 102933^2 .

It is not a de Polignac number, because 11952830205 - 2⁵ = 11952830173 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11952830205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2950021 + ... + 2954069.

It is an arithmetic number, because the mean of its divisors is an integer number (276535215).

Almost surely, 2^11952830205 is an apocalyptic number.

11952830205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11952830205 is a deficient number, since it is larger than the sum of its proper divisors (10169986995).

11952830205 is a wasteful number, since it uses less digits than its factorization.

11952830205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11952830205 its sum of digits (36), we get a square (11952830241 = 109329²).

The spelling of 11952830205 in words is "eleven billion, nine hundred fifty-two million, eight hundred thirty thousand, two hundred five".