12106872741600 has 3456 divisors, whose sum is σ = 59166915575040. Its totient is φ = 2256289136640.

The previous prime is 12106872741599. The next prime is 12106872741643. The reversal of 12106872741600 is 614727860121.

12106872741600 is a `hidden beast` number, since 1 + 2 + 10 + 6 + 8 + 7 + 27 + 4 + 1 + 600 = 666.

12106872741600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11951502694 + ... + 11951503706.

It is an arithmetic number, because the mean of its divisors is an integer number (17120056590).

Almost surely, 2^{12106872741600} is an apocalyptic number.

12106872741600 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 12106872741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29583457787520).

12106872741600 is an abundant number, since it is smaller than the sum of its proper divisors (47060042833440).

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

12106872741600 is a wasteful number, since it uses less digits than its factorization.

12106872741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12106872741600 in words is "twelve trillion, one hundred six billion, eight hundred seventy-two million, seven hundred forty-one thousand, six hundred".