12271015800 has 288 divisors, whose sum is σ = 42226984800. Its totient is φ = 3192284160.

The previous prime is 12271015781. The next prime is 12271015807. The reversal of 12271015800 is 851017221.

12271015800 is a `hidden beast` number, since 12 + 2 + 71 + 0 + 1 + 580 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271015807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27951981 + ... + 27952419.

It is an arithmetic number, because the mean of its divisors is an integer number (146621475).

Almost surely, 2^12271015800 is an apocalyptic number.

12271015800 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 12271015800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113492400).

12271015800 is an abundant number, since it is smaller than the sum of its proper divisors (29955969000).

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

12271015800 is a wasteful number, since it uses less digits than its factorization.

12271015800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 12271015800 in words is "twelve billion, two hundred seventy-one million, fifteen thousand, eight hundred".