12105471753072 has 30 divisors (see below), whose sum is σ = 33878507753792. Its totient is φ = 4035157250976.

The previous prime is 12105471753049. The next prime is 12105471753077. The reversal of 12105471753072 is 27035717450121.

12105471753072 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 47 + 1 + 7 + 530 + 72 = 666.

12105471753072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105471753077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42032887888 + ... + 42032888175.

Almost surely, 2^{12105471753072} is an apocalyptic number.

12105471753072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12105471753072 is an abundant number, since it is smaller than the sum of its proper divisors (21773036000720).

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

12105471753072 is a wasteful number, since it uses less digits than its factorization.

12105471753072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84065776077 (or 84065776068 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 12105471753072 in words is "twelve trillion, one hundred five billion, four hundred seventy-one million, seven hundred fifty-three thousand, seventy-two".