12270009185280 has 4224 divisors, whose sum is σ = 59518611302400. Its totient is φ = 2392848138240.

The previous prime is 12270009185263. The next prime is 12270009185321. The reversal of 12270009185280 is 8258190007221.

12270009185280 is a `hidden beast` number, since 12 + 27 + 0 + 0 + 0 + 91 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114672982987 + ... + 114672983093.

Almost surely, 2^{12270009185280} is an apocalyptic number.

12270009185280 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 12270009185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29759305651200).

12270009185280 is an abundant number, since it is smaller than the sum of its proper divisors (47248602117120).

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

12270009185280 is a wasteful number, since it uses less digits than its factorization.

12270009185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12270009185280 in words is "twelve trillion, two hundred seventy billion, nine million, one hundred eighty-five thousand, two hundred eighty".