12071561115121 has 16 divisors (see below), whose sum is σ = 12372455260368. Its totient is φ = 11770976793600.

The previous prime is 12071561115101. The next prime is 12071561115157. The reversal of 12071561115121 is 12151116517021.

It can be written as a sum of positive squares in 8 ways, for example, as 3816650640625 + 8254910474496 = 1953625^2 + 2873136^2 .

It is a cyclic number.

It is not a de Polignac number, because 12071561115121 - 2⁷ = 12071561114993 is a prime.

It is a super-2 number, since 2×12071561115121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12071561115101) 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, 790171135 + ... + 790186411.

It is an arithmetic number, because the mean of its divisors is an integer number (773278453773).

Almost surely, 2^{12071561115121} is an apocalyptic number.

It is an amenable number.

12071561115121 is a deficient number, since it is larger than the sum of its proper divisors (300894145247).

12071561115121 is a wasteful number, since it uses less digits than its factorization.

12071561115121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24132.

The product of its (nonzero) digits is 4200, while the sum is 34.

The spelling of 12071561115121 in words is "twelve trillion, seventy-one billion, five hundred sixty-one million, one hundred fifteen thousand, one hundred twenty-one".