12535142232000 has 448 divisors, whose sum is σ = 45463880217600. Its totient is φ = 3029084467200.

The previous prime is 12535142231993. The next prime is 12535142232059. The reversal of 12535142232000 is 23224153521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9890406 + ... + 11085594.

Almost surely, 2^{12535142232000} is an apocalyptic number.

12535142232000 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 12535142232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731940108800).

12535142232000 is an abundant number, since it is smaller than the sum of its proper divisors (32928737985600).

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

12535142232000 is a wasteful number, since it uses less digits than its factorization.

12535142232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195261 (or 1195241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12535142232000 its reverse (23224153521), we get a palindrome (12558366385521).

The spelling of 12535142232000 in words is "twelve trillion, five hundred thirty-five billion, one hundred forty-two million, two hundred thirty-two thousand".