12200102202120 has 256 divisors, whose sum is σ = 42017143357440. Its totient is φ = 2776073084928.

The previous prime is 12200102202103. The next prime is 12200102202133. The reversal of 12200102202120 is 2120220100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200102202120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179953749 + ... + 180021531.

It is an arithmetic number, because the mean of its divisors is an integer number (164129466240).

Almost surely, 2^{12200102202120} is an apocalyptic number.

12200102202120 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 12200102202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21008571678720).

12200102202120 is an abundant number, since it is smaller than the sum of its proper divisors (29817041155320).

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

12200102202120 is a wasteful number, since it uses less digits than its factorization.

12200102202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68764 (or 68760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200102202120 its reverse (2120220100221), we get a palindrome (14320322302341).

The spelling of 12200102202120 in words is "twelve trillion, two hundred billion, one hundred two million, two hundred two thousand, one hundred twenty".