13212211030200 has 1728 divisors, whose sum is σ = 59062024476000. Its totient is φ = 2618518855680.

The previous prime is 13212211030189. The next prime is 13212211030211. The reversal of 13212211030200 is 203011221231.

13212211030200 is a `hidden beast` number, since 1 + 321 + 2 + 2 + 110 + 30 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13212211030189) and next prime (13212211030211).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1230296431 + ... + 1230307169.

Almost surely, 2^{13212211030200} is an apocalyptic number.

13212211030200 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 13212211030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29531012238000).

13212211030200 is an abundant number, since it is smaller than the sum of its proper divisors (45849813445800).

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

13212211030200 is a wasteful number, since it uses less digits than its factorization.

13212211030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10854 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212211030200 its reverse (203011221231), we get a palindrome (13415222251431).

The spelling of 13212211030200 in words is "thirteen trillion, two hundred twelve billion, two hundred eleven million, thirty thousand, two hundred".