12231424400 has 120 divisors (see below), whose sum is σ = 31699507560. Its totient is φ = 4508651520.

The previous prime is 12231424349. The next prime is 12231424411. The reversal of 12231424400 is 442413221.

It can be written as a sum of positive squares in 12 ways, for example, as 1676738704 + 10554685696 = 40948^2 + 102736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3809996 + ... + 3813204.

It is an arithmetic number, because the mean of its divisors is an integer number (264162563).

Almost surely, 2^12231424400 is an apocalyptic number.

12231424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849753780).

12231424400 is an abundant number, since it is smaller than the sum of its proper divisors (19468083160).

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

12231424400 is a wasteful number, since it uses less digits than its factorization.

12231424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12231424400 its reverse (442413221), we get a palindrome (12673837621).

The spelling of 12231424400 in words is "twelve billion, two hundred thirty-one million, four hundred twenty-four thousand, four hundred".