10123200448 has 112 divisors (see below), whose sum is σ = 21205594368. Its totient is φ = 4790016000.

The previous prime is 10123200419. The next prime is 10123200449. The reversal of 10123200448 is 84400232101.

10123200448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123200449) 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, 12481963 + ... + 12482773.

It is an arithmetic number, because the mean of its divisors is an integer number (189335664).

Almost surely, 2^10123200448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602797184).

10123200448 is an abundant number, since it is smaller than the sum of its proper divisors (11082393920).

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

10123200448 is an equidigital number, since it uses as much as digits as its factorization.

10123200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10123200448 its reverse (84400232101), we get a palindrome (94523432549).

The spelling of 10123200448 in words is "ten billion, one hundred twenty-three million, two hundred thousand, four hundred forty-eight".