12153555535121 has 128 divisors (see below), whose sum is σ = 16680525668352. Its totient is φ = 8550178560000.

The previous prime is 12153555535117. The next prime is 12153555535229.

12153555535121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12153555535121 - 2² = 12153555535117 is a prime.

It is a super-3 number, since 3×12153555535121³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12153555535321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5112979685 + ... + 5112982061.

It is an arithmetic number, because the mean of its divisors is an integer number (130316606784).

Almost surely, 2^{12153555535121} is an apocalyptic number.

12153555535121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12153555535121 is a deficient number, since it is larger than the sum of its proper divisors (4526970133231).

12153555535121 is a wasteful number, since it uses less digits than its factorization.

12153555535121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103.

The product of its digits is 562500, while the sum is 44.

The spelling of 12153555535121 in words is "twelve trillion, one hundred fifty-three billion, five hundred fifty-five million, five hundred thirty-five thousand, one hundred twenty-one".