12212102200320 has 528 divisors, whose sum is σ = 48876810304608. Its totient is φ = 2786360033280.

The previous prime is 12212102200279. The next prime is 12212102200321. The reversal of 12212102200320 is 2300220121221.

12212102200320 is a `hidden beast` number, since 1 + 2 + 2 + 121 + 0 + 220 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a junction number, because it is equal to n+sod(n) for n = 12212102200293 and 12212102200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212102200321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7908352 + ... + 9325568.

It is an arithmetic number, because the mean of its divisors is an integer number (92569716486).

Almost surely, 2^{12212102200320} is an apocalyptic number.

12212102200320 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 12212102200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438405152304).

12212102200320 is an abundant number, since it is smaller than the sum of its proper divisors (36664708104288).

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

12212102200320 is a wasteful number, since it uses less digits than its factorization.

12212102200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417276 (or 1417255 counting only the distinct ones).

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

Adding to 12212102200320 its reverse (2300220121221), we get a palindrome (14512322321541).

The spelling of 12212102200320 in words is "twelve trillion, two hundred twelve billion, one hundred two million, two hundred thousand, three hundred twenty".