12132610011600 has 960 divisors, whose sum is σ = 43613836535808. Its totient is φ = 2864010240000.

The previous prime is 12132610011581. The next prime is 12132610011631. The reversal of 12132610011600 is 611001623121.

It is a happy number.

12132610011600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8875354117 + ... + 8875355483.

Almost surely, 2^{12132610011600} is an apocalyptic number.

12132610011600 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 12132610011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21806918267904).

12132610011600 is an abundant number, since it is smaller than the sum of its proper divisors (31481226524208).

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

12132610011600 is a wasteful number, since it uses less digits than its factorization.

12132610011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 12132610011600 its reverse (611001623121), we get a palindrome (12743611634721).

The spelling of 12132610011600 in words is "twelve trillion, one hundred thirty-two billion, six hundred ten million, eleven thousand, six hundred".