12352005541200 has 960 divisors, whose sum is σ = 46377509427200. Its totient is φ = 2783683584000.

The previous prime is 12352005541193. The next prime is 12352005541247. The reversal of 12352005541200 is 214550025321.

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 191 ways as a sum of consecutive naturals, for example, 1655983071 + ... + 1655990529.

Almost surely, 2^{12352005541200} is an apocalyptic number.

12352005541200 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 12352005541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188754713600).

12352005541200 is an abundant number, since it is smaller than the sum of its proper divisors (34025503886000).

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

12352005541200 is a wasteful number, since it uses less digits than its factorization.

12352005541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 12352005541200 its reverse (214550025321), we get a palindrome (12566555566521).

The spelling of 12352005541200 in words is "twelve trillion, three hundred fifty-two billion, five million, five hundred forty-one thousand, two hundred".