12002012103133 has 16 divisors (see below), whose sum is σ = 13708630915056. Its totient is φ = 10409503703040.

The previous prime is 12002012103121. The next prime is 12002012103181. The reversal of 12002012103133 is 33130121020021.

It can be written as a sum of positive squares in 8 ways, for example, as 1456262457049 + 10545749646084 = 1206757^2 + 3247422^2 .

It is not a de Polignac number, because 12002012103133 - 2¹⁷ = 12002011972061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12002012103133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012163133) 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, 45659628 + ... + 45921733.

It is an arithmetic number, because the mean of its divisors is an integer number (856789432191).

Almost surely, 2^{12002012103133} is an apocalyptic number.

12002012103133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12002012103133 is a deficient number, since it is larger than the sum of its proper divisors (1706618811923).

12002012103133 is a wasteful number, since it uses less digits than its factorization.

12002012103133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91581984.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12002012103133 its reverse (33130121020021), we get a palindrome (45132133123154).

The spelling of 12002012103133 in words is "twelve trillion, two billion, twelve million, one hundred three thousand, one hundred thirty-three".