12232400010 has 64 divisors (see below), whose sum is σ = 30108672000. Its totient is φ = 3179124032.

The previous prime is 12232399999. The next prime is 12232400027. The reversal of 12232400010 is 1000423221.

12232400010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12232400010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 318841 + ... + 355139.

It is an arithmetic number, because the mean of its divisors is an integer number (470448000).

Almost surely, 2^12232400010 is an apocalyptic number.

12232400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054336000).

12232400010 is an abundant number, since it is smaller than the sum of its proper divisors (17876271990).

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

12232400010 is a wasteful number, since it uses less digits than its factorization.

12232400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36595.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12232400010 its reverse (1000423221), we get a palindrome (13232823231).

The spelling of 12232400010 in words is "twelve billion, two hundred thirty-two million, four hundred thousand, ten".