12270873600 has 528 divisors, whose sum is σ = 46267767840. Its totient is φ = 3185049600.

The previous prime is 12270873577. The next prime is 12270873611. The reversal of 12270873600 is 637807221.

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

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, 28338984 + ... + 28339416.

Almost surely, 2^12270873600 is an apocalyptic number.

12270873600 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 12270873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133883920).

12270873600 is an abundant number, since it is smaller than the sum of its proper divisors (33996894240).

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

12270873600 is a wasteful number, since it uses less digits than its factorization.

12270873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12270873600 in words is "twelve billion, two hundred seventy million, eight hundred seventy-three thousand, six hundred".