12272527800 has 288 divisors, whose sum is σ = 46998085680. Its totient is φ = 2843136000.

The previous prime is 12272527763. The next prime is 12272527807. The reversal of 12272527800 is 872527221.

12272527800 is a `hidden beast` number, since 122 + 7 + 2 + 527 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×12272527800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272527807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382375 + ... + 413225.

Almost surely, 2^12272527800 is an apocalyptic number.

12272527800 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 12272527800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499042840).

12272527800 is an abundant number, since it is smaller than the sum of its proper divisors (34725557880).

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

12272527800 is a wasteful number, since it uses less digits than its factorization.

12272527800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30903 (or 30891 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12272527800 in words is "twelve billion, two hundred seventy-two million, five hundred twenty-seven thousand, eight hundred".