12275841600 has 840 divisors, whose sum is σ = 50305411200. Its totient is φ = 2911334400.

The previous prime is 12275841583. The next prime is 12275841653. The reversal of 12275841600 is 614857221.

12275841600 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 5 + 8 + 41 + 600 = 666.

12275841600 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 (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 112622346 + ... + 112622454.

Almost surely, 2^12275841600 is an apocalyptic number.

12275841600 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 12275841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152705600).

12275841600 is an abundant number, since it is smaller than the sum of its proper divisors (38029569600).

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

12275841600 is a wasteful number, since it uses less digits than its factorization.

12275841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12275841600 in words is "twelve billion, two hundred seventy-five million, eight hundred forty-one thousand, six hundred".