12352133376 has 216 divisors, whose sum is σ = 39124612800. Its totient is φ = 3716812800.

The previous prime is 12352133369. The next prime is 12352133419. The reversal of 12352133376 is 67333125321.

12352133376 is a `hidden beast` number, since 1 + 235 + 21 + 33 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12352133376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3774621 + ... + 3777891.

Almost surely, 2^12352133376 is an apocalyptic number.

12352133376 is a gapful number since it is divisible by the number (16) 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 12352133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19562306400).

12352133376 is an abundant number, since it is smaller than the sum of its proper divisors (26772479424).

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

12352133376 is a wasteful number, since it uses less digits than its factorization.

12352133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3436 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

Adding to 12352133376 its reverse (67333125321), we get a palindrome (79685258697).

The spelling of 12352133376 in words is "twelve billion, three hundred fifty-two million, one hundred thirty-three thousand, three hundred seventy-six".