12212120302200 has 1152 divisors, whose sum is σ = 53660890483200. Its totient is φ = 2416780800000.

The previous prime is 12212120302171. The next prime is 12212120302211. The reversal of 12212120302200 is 220302121221.

12212120302200 is a `hidden beast` number, since 1 + 22 + 121 + 20 + 302 + 200 = 666.

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 287 ways as a sum of consecutive naturals, for example, 314312775 + ... + 314351625.

It is an arithmetic number, because the mean of its divisors is an integer number (46580634100).

Almost surely, 2^{12212120302200} is an apocalyptic number.

12212120302200 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 12212120302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830445241600).

12212120302200 is an abundant number, since it is smaller than the sum of its proper divisors (41448770181000).

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

12212120302200 is a wasteful number, since it uses less digits than its factorization.

12212120302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39013 (or 39001 counting only the distinct ones).

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

Adding to 12212120302200 its reverse (220302121221), we get a palindrome (12432422423421).

The spelling of 12212120302200 in words is "twelve trillion, two hundred twelve billion, one hundred twenty million, three hundred two thousand, two hundred".