12456605217060 has 192 divisors, whose sum is σ = 39832978268160. Its totient is φ = 3229960406400.

The previous prime is 12456605217053. The next prime is 12456605217101. The reversal of 12456605217060 is 6071250665421.

12456605217060 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 6 + 60 + 521 + 7 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12456605216997 and 12456605217015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3975235 + ... + 6380885.

It is an arithmetic number, because the mean of its divisors is an integer number (207463428480).

Almost surely, 2^{12456605217060} is an apocalyptic number.

12456605217060 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 12456605217060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916489134080).

12456605217060 is an abundant number, since it is smaller than the sum of its proper divisors (27376373051100).

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

12456605217060 is a wasteful number, since it uses less digits than its factorization.

12456605217060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405935 (or 2405927 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12456605217060 in words is "twelve trillion, four hundred fifty-six billion, six hundred five million, two hundred seventeen thousand, sixty".