10112132320 has 48 divisors (see below), whose sum is σ = 23914251648. Its totient is φ = 4040732160.

The previous prime is 10112132311. The next prime is 10112132333. The reversal of 10112132320 is 2323121101.

10112132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10112132294 and 10112132303.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 127825 + ... + 191215.

It is an arithmetic number, because the mean of its divisors is an integer number (498213576).

Almost surely, 2^10112132320 is an apocalyptic number.

10112132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112132320 is an abundant number, since it is smaller than the sum of its proper divisors (13802119328).

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

10112132320 is an equidigital number, since it uses as much as digits as its factorization.

10112132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64403 (or 64395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10112132320 its reverse (2323121101), we get a palindrome (12435253421).

The spelling of 10112132320 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty".