13120003201200 has 120 divisors (see below), whose sum is σ = 48031706988288. Its totient is φ = 2998857872640.

The previous prime is 13120003201199. The next prime is 13120003201223. The reversal of 13120003201200 is 210230002131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×13120003201200³ (a number of 40 digits) contains 333 as substring.

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 13120003201200.

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, 780944172 + ... + 780960971.

Almost surely, 2^{13120003201200} is an apocalyptic number.

13120003201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120003201200 is an abundant number, since it is smaller than the sum of its proper divisors (34911703787088).

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

13120003201200 is a wasteful number, since it uses less digits than its factorization.

13120003201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561905171 (or 1561905160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13120003201200 its reverse (210230002131), we get a palindrome (13330233203331).

The spelling of 13120003201200 in words is "thirteen trillion, one hundred twenty billion, three million, two hundred one thousand, two hundred".