12130213200 has 480 divisors, whose sum is σ = 47116984320. Its totient is φ = 2608588800.

The previous prime is 12130213189. The next prime is 12130213261. The reversal of 12130213200 is 231203121.

It is a super-3 number, since 3×12130213200³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12130213200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9634171 + ... + 9635429.

It is an arithmetic number, because the mean of its divisors is an integer number (98160384).

Almost surely, 2^12130213200 is an apocalyptic number.

12130213200 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 12130213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558492160).

12130213200 is an abundant number, since it is smaller than the sum of its proper divisors (34986771120).

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

12130213200 is a wasteful number, since it uses less digits than its factorization.

12130213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12130213200 its reverse (231203121), we get a palindrome (12361416321).

The spelling of 12130213200 in words is "twelve billion, one hundred thirty million, two hundred thirteen thousand, two hundred".