12270528000 has 560 divisors, whose sum is σ = 46049436576. Its totient is φ = 3259699200.

The previous prime is 12270527987. The next prime is 12270528029. The reversal of 12270528000 is 82507221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655869 + ... + 46656131.

Almost surely, 2^12270528000 is an apocalyptic number.

12270528000 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 12270528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024718288).

12270528000 is an abundant number, since it is smaller than the sum of its proper divisors (33778908576).

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

12270528000 is an frugal number, since it uses more digits than its factorization.

12270528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12270528000 in words is "twelve billion, two hundred seventy million, five hundred twenty-eight thousand".