12416111660560 has 40 divisors (see below), whose sum is σ = 28867727894040. Its totient is φ = 4966398508032.

The previous prime is 12416111660507. The next prime is 12416111660611. The reversal of 12416111660560 is 6506611161421.

12416111660560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35199763456 + 12380911897104 = 187616^2 + 3518652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8706084 + ... + 10031356.

It is an arithmetic number, because the mean of its divisors is an integer number (721693197351).

Almost surely, 2^{12416111660560} is an apocalyptic number.

12416111660560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416111660560 is an abundant number, since it is smaller than the sum of its proper divisors (16451616233480).

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

12416111660560 is a wasteful number, since it uses less digits than its factorization.

12416111660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442395 (or 1442389 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 12416111660560 in words is "twelve trillion, four hundred sixteen billion, one hundred eleven million, six hundred sixty thousand, five hundred sixty".