13221212101200 has 90 divisors (see below), whose sum is σ = 45881278562574. Its totient is φ = 3525656559360.

The previous prime is 13221212101199. The next prime is 13221212101219. The reversal of 13221212101200 is 210121212231.

13221212101200 is a `hidden beast` number, since 1 + 322 + 1 + 212 + 10 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 223687377936 + 12997524723264 = 472956^2 + 3605208^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 1836275859 + ... + 1836283058.

Almost surely, 2^{13221212101200} is an apocalyptic number.

13221212101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221212101200 is an abundant number, since it is smaller than the sum of its proper divisors (32660066461374).

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

13221212101200 is a wasteful number, since it uses less digits than its factorization.

13221212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672558941 (or 3672558927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13221212101200 its reverse (210121212231), we get a palindrome (13431333313431).

The spelling of 13221212101200 in words is "thirteen trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, two hundred".