12157115072 has 56 divisors (see below), whose sum is σ = 25582845456. Its totient is φ = 5712150528.

The previous prime is 12157115063. The next prime is 12157115077. The reversal of 12157115072 is 27051175121.

12157115072 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 (32).

It is not an unprimeable number, because it can be changed into a prime (12157115077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723923 + ... + 740525.

It is an arithmetic number, because the mean of its divisors is an integer number (456836526).

Almost surely, 2^12157115072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12157115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791422728).

12157115072 is an abundant number, since it is smaller than the sum of its proper divisors (13425730384).

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

12157115072 is a wasteful number, since it uses less digits than its factorization.

12157115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17295 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 32.

The spelling of 12157115072 in words is "twelve billion, one hundred fifty-seven million, one hundred fifteen thousand, seventy-two".