12147017552600 has 144 divisors (see below), whose sum is σ = 32854819813200. Its totient is φ = 4164426120960.

The previous prime is 12147017552587. The next prime is 12147017552617. The reversal of 12147017552600 is 625571074121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211249454 + ... + 211306946.

It is an arithmetic number, because the mean of its divisors is an integer number (228158470925).

Almost surely, 2^{12147017552600} is an apocalyptic number.

12147017552600 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 12147017552600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427409906600).

12147017552600 is an abundant number, since it is smaller than the sum of its proper divisors (20707802260600).

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

12147017552600 is a wasteful number, since it uses less digits than its factorization.

12147017552600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79082 (or 79066 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 12147017552600 in words is "twelve trillion, one hundred forty-seven billion, seventeen million, five hundred fifty-two thousand, six hundred".