12312216542560 has 192 divisors, whose sum is σ = 33296590010880. Its totient is φ = 4258582958080.

The previous prime is 12312216542503. The next prime is 12312216542599. The reversal of 12312216542560 is 6524561221321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6396324 + ... + 8095516.

It is an arithmetic number, because the mean of its divisors is an integer number (173419739640).

Almost surely, 2^{12312216542560} is an apocalyptic number.

12312216542560 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 12312216542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648295005440).

12312216542560 is an abundant number, since it is smaller than the sum of its proper divisors (20984373468320).

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

12312216542560 is a wasteful number, since it uses less digits than its factorization.

12312216542560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699421 (or 1699413 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 12312216542560 its reverse (6524561221321), we get a palindrome (18836777763881).

The spelling of 12312216542560 in words is "twelve trillion, three hundred twelve billion, two hundred sixteen million, five hundred forty-two thousand, five hundred sixty".