20131212010200 has 96 divisors (see below), whose sum is σ = 65120094547200. Its totient is φ = 5134917842560.

The previous prime is 20131212010127. The next prime is 20131212010211. The reversal of 20131212010200 is 201021213102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20131212010200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 729377940 + ... + 729405539.

It is an arithmetic number, because the mean of its divisors is an integer number (678334318200).

Almost surely, 2^{20131212010200} is an apocalyptic number.

20131212010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131212010200 is an abundant number, since it is smaller than the sum of its proper divisors (44988882537000).

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

20131212010200 is a wasteful number, since it uses less digits than its factorization.

20131212010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458783521 (or 1458783512 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20131212010200 its reverse (201021213102), we get a palindrome (20332233223302).

The spelling of 20131212010200 in words is "twenty trillion, one hundred thirty-one billion, two hundred twelve million, ten thousand, two hundred".