12205778617680 has 40 divisors (see below), whose sum is σ = 37837913715552. Its totient is φ = 3254874297984.

The previous prime is 12205778617631. The next prime is 12205778617741. The reversal of 12205778617680 is 8671687750221.

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 (60).

It is a congruent number.

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, 25428705214 + ... + 25428705693.

Almost surely, 2^{12205778617680} is an apocalyptic number.

12205778617680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12205778617680 is an abundant number, since it is smaller than the sum of its proper divisors (25632135097872).

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

12205778617680 is a wasteful number, since it uses less digits than its factorization.

12205778617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50857410923 (or 50857410917 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 12205778617680 in words is "twelve trillion, two hundred five billion, seven hundred seventy-eight million, six hundred seventeen thousand, six hundred eighty".