12135212000 has 192 divisors, whose sum is σ = 32250306816. Its totient is φ = 4470169600.

The previous prime is 12135211997. The next prime is 12135212053. The reversal of 12135212000 is 21253121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12135212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3194102 + ... + 3197898.

It is an arithmetic number, because the mean of its divisors is an integer number (167970348).

Almost surely, 2^12135212000 is an apocalyptic number.

12135212000 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 12135212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125153408).

12135212000 is an abundant number, since it is smaller than the sum of its proper divisors (20115094816).

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

12135212000 is a wasteful number, since it uses less digits than its factorization.

12135212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 12135212000 its reverse (21253121), we get a palindrome (12156465121).

The spelling of 12135212000 in words is "twelve billion, one hundred thirty-five million, two hundred twelve thousand".