12130002000 has 240 divisors, whose sum is σ = 42521149008. Its totient is φ = 3222835200.

The previous prime is 12130001981. The next prime is 12130002013. The reversal of 12130002000 is 20003121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10645286976 + 1484715024 = 103176^2 + 38532^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5632924 + ... + 5635076.

Almost surely, 2^12130002000 is an apocalyptic number.

12130002000 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 12130002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21260574504).

12130002000 is an abundant number, since it is smaller than the sum of its proper divisors (30391147008).

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

12130002000 is a wasteful number, since it uses less digits than its factorization.

12130002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12130002000 its reverse (20003121), we get a palindrome (12150005121).

The spelling of 12130002000 in words is "twelve billion, one hundred thirty million, two thousand".