10122632205 has 16 divisors (see below), whose sum is σ = 18509956224. Its totient is φ = 4627488960.

The previous prime is 10122632159. The next prime is 10122632209. The reversal of 10122632205 is 50223622101.

10122632205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122632205 - 2¹¹ = 10122630157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122632209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48202906 + ... + 48203115.

It is an arithmetic number, because the mean of its divisors is an integer number (1156872264).

Almost surely, 2^10122632205 is an apocalyptic number.

10122632205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10122632205 is a deficient number, since it is larger than the sum of its proper divisors (8387324019).

10122632205 is an equidigital number, since it uses as much as digits as its factorization.

10122632205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96406036.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10122632205 in words is "ten billion, one hundred twenty-two million, six hundred thirty-two thousand, two hundred five".