10205120224 has 48 divisors (see below), whose sum is σ = 21646947168. Its totient is φ = 4707850752.

The previous prime is 10205120221. The next prime is 10205120239. The reversal of 10205120224 is 42202150201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175869 + ... + 1184515.

It is an arithmetic number, because the mean of its divisors is an integer number (450978066).

Almost surely, 2^10205120224 is an apocalyptic number.

It is an amenable number.

10205120224 is an abundant number, since it is smaller than the sum of its proper divisors (11441826944).

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

10205120224 is a wasteful number, since it uses less digits than its factorization.

10205120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10205120224 its reverse (42202150201), we get a palindrome (52407270425).

The spelling of 10205120224 in words is "ten billion, two hundred five million, one hundred twenty thousand, two hundred twenty-four".