12032133123021 has 128 divisors (see below), whose sum is σ = 18127929600000. Its totient is φ = 7037521920000.

The previous prime is 12032133123013. The next prime is 12032133123037.

12032133123021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12032133123021 - 2³ = 12032133123013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12032133122982 and 12032133123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032133123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9633412605 + ... + 9633413853.

It is an arithmetic number, because the mean of its divisors is an integer number (141624450000).

Almost surely, 2^{12032133123021} is an apocalyptic number.

12032133123021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12032133123021 is a deficient number, since it is larger than the sum of its proper divisors (6095796476979).

12032133123021 is a wasteful number, since it uses less digits than its factorization.

12032133123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1203213 and 3123021, that added together give a palindrome (4326234).

The spelling of 12032133123021 in words is "twelve trillion, thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, twenty-one".