12270656040 has 128 divisors (see below), whose sum is σ = 37836288000. Its totient is φ = 3182370048.

The previous prime is 12270656033. The next prime is 12270656051. The reversal of 12270656040 is 4065607221.

12270656040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12270655992 and 12270656010.

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 31 ways as a sum of consecutive naturals, for example, 625501 + ... + 644819.

It is an arithmetic number, because the mean of its divisors is an integer number (295596000).

Almost surely, 2^12270656040 is an apocalyptic number.

12270656040 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 12270656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918144000).

12270656040 is an abundant number, since it is smaller than the sum of its proper divisors (25565631960).

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

12270656040 is a wasteful number, since it uses less digits than its factorization.

12270656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19479 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 12270656040 in words is "twelve billion, two hundred seventy million, six hundred fifty-six thousand, forty".