33200012121003 has 48 divisors (see below), whose sum is σ = 59034119551680. Its totient is φ = 17508570723072.

The previous prime is 33200012120993. The next prime is 33200012121043. The reversal of 33200012121003 is 30012121000233.

33200012121003 is a `hidden beast` number, since 332 + 0 + 0 + 0 + 121 + 210 + 0 + 3 = 666.

It is not a de Polignac number, because 33200012121003 - 2⁵ = 33200012120971 is a prime.

It is a super-3 number, since 3×33200012121003³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33200012121043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2848 + ... + 8148621.

It is an arithmetic number, because the mean of its divisors is an integer number (1229877490660).

Almost surely, 2^{33200012121003} is an apocalyptic number.

33200012121003 is a deficient number, since it is larger than the sum of its proper divisors (25834107430677).

33200012121003 is a wasteful number, since it uses less digits than its factorization.

33200012121003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156468 (or 8156465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33200012121003 its reverse (30012121000233), we get a palindrome (63212133121236).

The spelling of 33200012121003 in words is "thirty-three trillion, two hundred billion, twelve million, one hundred twenty-one thousand, three".