12122713327560 has 256 divisors, whose sum is σ = 39748412620800. Its totient is φ = 2933358105600.

The previous prime is 12122713327531. The next prime is 12122713327577. The reversal of 12122713327560 is 6572331722121.

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 63 ways as a sum of consecutive naturals, for example, 1819950630 + ... + 1819957290.

It is an arithmetic number, because the mean of its divisors is an integer number (155267236800).

Almost surely, 2^{12122713327560} is an apocalyptic number.

12122713327560 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 12122713327560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19874206310400).

12122713327560 is an abundant number, since it is smaller than the sum of its proper divisors (27625699293240).

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

12122713327560 is a wasteful number, since it uses less digits than its factorization.

12122713327560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 12122713327560 in words is "twelve trillion, one hundred twenty-two billion, seven hundred thirteen million, three hundred twenty-seven thousand, five hundred sixty".