12355238297600 has 816 divisors, whose sum is σ = 34754996073600. Its totient is φ = 4318140825600.

The previous prime is 12355238297543. The next prime is 12355238297603. The reversal of 12355238297600 is 679283255321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355238297603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82921062326 + ... + 82921062474.

Almost surely, 2^{12355238297600} is an apocalyptic number.

12355238297600 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 12355238297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377498036800).

12355238297600 is an abundant number, since it is smaller than the sum of its proper divisors (22399757776000).

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

12355238297600 is a wasteful number, since it uses less digits than its factorization.

12355238297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 12355238297600 in words is "twelve trillion, three hundred fifty-five billion, two hundred thirty-eight million, two hundred ninety-seven thousand, six hundred".