12153333335121 has 24 divisors (see below), whose sum is σ = 19340318050560. Its totient is φ = 7292729268000.

The previous prime is 12153333335089. The next prime is 12153333335123.

12153333335121 is a `hidden beast` number, since 1 + 21 + 533 + 3 + 3 + 33 + 51 + 21 = 666.

12153333335121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12153333335121 - 2⁵ = 12153333335089 is a prime.

It is a super-2 number, since 2×12153333335121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12153333335123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607717441 + ... + 607737438.

It is an arithmetic number, because the mean of its divisors is an integer number (805846585440).

Almost surely, 2^{12153333335121} is an apocalyptic number.

12153333335121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12153333335121 is a deficient number, since it is larger than the sum of its proper divisors (7186984715439).

12153333335121 is a wasteful number, since it uses less digits than its factorization.

12153333335121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215454997 (or 1215454994 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The spelling of 12153333335121 in words is "twelve trillion, one hundred fifty-three billion, three hundred thirty-three million, three hundred thirty-five thousand, one hundred twenty-one".