12274377200 has 60 divisors (see below), whose sum is σ = 29530453680. Its totient is φ = 4902881280.

The previous prime is 12274377197. The next prime is 12274377251. The reversal of 12274377200 is 277347221.

12274377200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 269696 + ... + 311904.

It is an arithmetic number, because the mean of its divisors is an integer number (492174228).

Almost surely, 2^12274377200 is an apocalyptic number.

12274377200 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 12274377200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765226840).

12274377200 is an abundant number, since it is smaller than the sum of its proper divisors (17256076480).

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

12274377200 is a wasteful number, since it uses less digits than its factorization.

12274377200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42954 (or 42943 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 12274377200 in words is "twelve billion, two hundred seventy-four million, three hundred seventy-seven thousand, two hundred".