12142130000 has 400 divisors, whose sum is σ = 39503054976. Its totient is φ = 3490560000.

The previous prime is 12142129991. The next prime is 12142130017. The reversal of 12142130000 is 3124121.

12142130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 10009394 + ... + 10010606.

Almost surely, 2^12142130000 is an apocalyptic number.

12142130000 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 12142130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751527488).

12142130000 is an abundant number, since it is smaller than the sum of its proper divisors (27360924976).

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

12142130000 is a wasteful number, since it uses less digits than its factorization.

12142130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12142130000 its reverse (3124121), we get a palindrome (12145254121).

The spelling of 12142130000 in words is "twelve billion, one hundred forty-two million, one hundred thirty thousand".