2003120302000 has 320 divisors, whose sum is σ = 5220966336768. Its totient is φ = 740597760000.

The previous prime is 2003120301979. The next prime is 2003120302003. The reversal of 2003120302000 is 2030213002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2003120302003) 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 63 ways as a sum of consecutive naturals, for example, 678332524 + ... + 678335476.

Almost surely, 2^{2003120302000} is an apocalyptic number.

2003120302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003120302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610483168384).

2003120302000 is an abundant number, since it is smaller than the sum of its proper divisors (3217846034768).

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

2003120302000 is a wasteful number, since it uses less digits than its factorization.

2003120302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2003120302000 its reverse (2030213002), we get a palindrome (2005150515002).

The spelling of 2003120302000 in words is "two trillion, three billion, one hundred twenty million, three hundred two thousand".