12130400000 has 216 divisors, whose sum is σ = 30897553680. Its totient is φ = 4751360000.

The previous prime is 12130399949. The next prime is 12130400003. The reversal of 12130400000 is 403121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47199872 + ... + 47200128.

It is an arithmetic number, because the mean of its divisors is an integer number (143044230).

Almost surely, 2^12130400000 is an apocalyptic number.

12130400000 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 12130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448776840).

12130400000 is an abundant number, since it is smaller than the sum of its proper divisors (18767153680).

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

12130400000 is an frugal number, since it uses more digits than its factorization.

12130400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12130400000 its reverse (403121), we get a palindrome (12130803121).

The spelling of 12130400000 in words is "twelve billion, one hundred thirty million, four hundred thousand".