12275682249600 has 1152 divisors, whose sum is σ = 56985464839680. Its totient is φ = 2439877017600.

The previous prime is 12275682249587. The next prime is 12275682249601. The reversal of 12275682249600 is 694228657221.

12275682249600 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 5 + 6 + 8 + 2 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275682249601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50884462 + ... + 51125138.

It is an arithmetic number, because the mean of its divisors is an integer number (49466549340).

Almost surely, 2^{12275682249600} is an apocalyptic number.

12275682249600 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 12275682249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492732419840).

12275682249600 is an abundant number, since it is smaller than the sum of its proper divisors (44709782590080).

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

12275682249600 is a wasteful number, since it uses less digits than its factorization.

12275682249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240748 (or 240728 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12275682249600 in words is "twelve trillion, two hundred seventy-five billion, six hundred eighty-two million, two hundred forty-nine thousand, six hundred".