12207385414656 has 352 divisors, whose sum is σ = 36407432378880. Its totient is φ = 4040482701312.

The previous prime is 12207385414621. The next prime is 12207385414657. The reversal of 12207385414656 is 65641458370221.

12207385414656 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 7 + 3 + 8 + 541 + 46 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12207385414657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538502235 + ... + 6538504101.

Almost surely, 2^{12207385414656} is an apocalyptic number.

12207385414656 is a gapful number since it is divisible by the number (16) 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 12207385414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203716189440).

12207385414656 is an abundant number, since it is smaller than the sum of its proper divisors (24200046964224).

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

12207385414656 is a wasteful number, since it uses less digits than its factorization.

12207385414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12207385414656 in words is "twelve trillion, two hundred seven billion, three hundred eighty-five million, four hundred fourteen thousand, six hundred fifty-six".