13212201112002 has 128 divisors (see below), whose sum is σ = 31768117056000. Its totient is φ = 4054723964928.

The previous prime is 13212201111913. The next prime is 13212201112009. The reversal of 13212201112002 is 20021110221231.

13212201112002 is a `hidden beast` number, since 1 + 321 + 220 + 1 + 1 + 120 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13212201112009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15993499 + ... + 16799297.

It is an arithmetic number, because the mean of its divisors is an integer number (248188414500).

Almost surely, 2^{13212201112002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212201112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884058528000).

13212201112002 is an abundant number, since it is smaller than the sum of its proper divisors (18555915943998).

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

13212201112002 is a wasteful number, since it uses less digits than its factorization.

13212201112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806217 (or 806211 counting only the distinct ones).

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

Adding to 13212201112002 its reverse (20021110221231), we get a palindrome (33233311333233).

The spelling of 13212201112002 in words is "thirteen trillion, two hundred twelve billion, two hundred one million, one hundred twelve thousand, two".