13212202021200 has 1800 divisors, whose sum is σ = 60316283094144. Its totient is φ = 2697127372800.

The previous prime is 13212202021141. The next prime is 13212202021223. The reversal of 13212202021200 is 212020221231.

13212202021200 is a `hidden beast` number, since 1 + 321 + 2 + 20 + 202 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 2833410069 + ... + 2833414731.

Almost surely, 2^{13212202021200} is an apocalyptic number.

13212202021200 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 13212202021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30158141547072).

13212202021200 is an abundant number, since it is smaller than the sum of its proper divisors (47104081072944).

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

13212202021200 is a wasteful number, since it uses less digits than its factorization.

13212202021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13212202021200 its reverse (212020221231), we get a palindrome (13424222242431).

The spelling of 13212202021200 in words is "thirteen trillion, two hundred twelve billion, two hundred two million, twenty-one thousand, two hundred".