12261541127 has 16 divisors (see below), whose sum is σ = 13964464800. Its totient is φ = 10663712640.

The previous prime is 12261541087. The next prime is 12261541133. The reversal of 12261541127 is 72114516221.

It is a cyclic number.

It is not a de Polignac number, because 12261541127 - 2⁸ = 12261540871 is a prime.

It is a super-2 number, since 2×12261541127² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12261541093 and 12261541102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261541147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141548 + ... + 211089.

It is an arithmetic number, because the mean of its divisors is an integer number (872779050).

Almost surely, 2^12261541127 is an apocalyptic number.

12261541127 is a deficient number, since it is larger than the sum of its proper divisors (1702923673).

12261541127 is a wasteful number, since it uses less digits than its factorization.

12261541127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352786.

The product of its digits is 6720, while the sum is 32.

The spelling of 12261541127 in words is "twelve billion, two hundred sixty-one million, five hundred forty-one thousand, one hundred twenty-seven".