12261160272 has 40 divisors (see below), whose sum is σ = 31689792160. Its totient is φ = 4085101440.

The previous prime is 12261160271. The next prime is 12261160279. The reversal of 12261160272 is 27206116221.

12261160272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12261160272³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261160271) 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, 42354 + ... + 162222.

It is an arithmetic number, because the mean of its divisors is an integer number (792244804).

Almost surely, 2^12261160272 is an apocalyptic number.

12261160272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12261160272 is an abundant number, since it is smaller than the sum of its proper divisors (19428631888).

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

12261160272 is a wasteful number, since it uses less digits than its factorization.

12261160272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122011 (or 122005 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 12261160272 its reverse (27206116221), we get a palindrome (39467276493).

The spelling of 12261160272 in words is "twelve billion, two hundred sixty-one million, one hundred sixty thousand, two hundred seventy-two".