12270872623560 has 1024 divisors, whose sum is σ = 43178655744000. Its totient is φ = 2769082122240.

The previous prime is 12270872623523. The next prime is 12270872623571. The reversal of 12270872623560 is 6532627807221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14802017226 + ... + 14802018054.

It is an arithmetic number, because the mean of its divisors is an integer number (42166656000).

Almost surely, 2^{12270872623560} is an apocalyptic number.

12270872623560 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 12270872623560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21589327872000).

12270872623560 is an abundant number, since it is smaller than the sum of its proper divisors (30907783120440).

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

12270872623560 is a wasteful number, since it uses less digits than its factorization.

12270872623560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 12270872623560 in words is "twelve trillion, two hundred seventy billion, eight hundred seventy-two million, six hundred twenty-three thousand, five hundred sixty".