12273795072 has 720 divisors, whose sum is σ = 47108984832. Its totient is φ = 2984509440.

The previous prime is 12273795011. The next prime is 12273795089. The reversal of 12273795072 is 27059737221.

12273795072 is a `hidden beast` number, since 1 + 2 + 2 + 73 + 79 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261144553 + ... + 261144599.

Almost surely, 2^12273795072 is an apocalyptic number.

12273795072 is a gapful number since it is divisible by the number (12) 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 12273795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554492416).

12273795072 is an abundant number, since it is smaller than the sum of its proper divisors (34835189760).

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

12273795072 is a wasteful number, since it uses less digits than its factorization.

12273795072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 12273795072 in words is "twelve billion, two hundred seventy-three million, seven hundred ninety-five thousand, seventy-two".