20032003123002 has 72 divisors (see below), whose sum is σ = 47000318823900. Its totient is φ = 6163410299904.

The previous prime is 20032003123001. The next prime is 20032003123009. The reversal of 20032003123002 is 20032130023002.

It is a happy number.

20032003123002 is a `hidden beast` number, since 2 + 0 + 0 + 320 + 0 + 312 + 30 + 0 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1066492009521 + 18965511113481 = 1032711^2 + 4354941^2 .

It is a super-2 number, since 2×20032003123002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20032003123001) 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 35 ways as a sum of consecutive naturals, for example, 71740074 + ... + 72018762.

Almost surely, 2^{20032003123002} is an apocalyptic number.

20032003123002 is an abundant number, since it is smaller than the sum of its proper divisors (26968315700898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20032003123002 is a wasteful number, since it uses less digits than its factorization.

20032003123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302352 (or 302336 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20032003123002 its reverse (20032130023002), we get a palindrome (40064133146004).

The spelling of 20032003123002 in words is "twenty trillion, thirty-two billion, three million, one hundred twenty-three thousand, two".