13205211351200 has 288 divisors, whose sum is σ = 36147338422272. Its totient is φ = 4669160832000.

The previous prime is 13205211351191. The next prime is 13205211351223. The reversal of 13205211351200 is 215311250231.

It is a super-2 number, since 2×13205211351200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13205211351200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84304955 + ... + 84461445.

It is an arithmetic number, because the mean of its divisors is an integer number (125511591744).

Almost surely, 2^{13205211351200} is an apocalyptic number.

13205211351200 is a gapful number since it is divisible by the number (10) 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 13205211351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073669211136).

13205211351200 is an abundant number, since it is smaller than the sum of its proper divisors (22942127071072).

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

13205211351200 is a wasteful number, since it uses less digits than its factorization.

13205211351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156788 (or 156775 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 13205211351200 in words is "thirteen trillion, two hundred five billion, two hundred eleven million, three hundred fifty-one thousand, two hundred".