12270409062912 has 1440 divisors, whose sum is σ = 49709767371264. Its totient is φ = 2862165196800.

The previous prime is 12270409062893. The next prime is 12270409062971. The reversal of 12270409062912 is 21926090407221.

12270409062912 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 0 + 4 + 0 + 9 + 0 + 629 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1194660337 + ... + 1194670607.

Almost surely, 2^{12270409062912} is an apocalyptic number.

12270409062912 is a gapful number since it is divisible by the number (12) 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 12270409062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854883685632).

12270409062912 is an abundant number, since it is smaller than the sum of its proper divisors (37439358308352).

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

12270409062912 is a wasteful number, since it uses less digits than its factorization.

12270409062912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12270409062912 in words is "twelve trillion, two hundred seventy billion, four hundred nine million, sixty-two thousand, nine hundred twelve".