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12220001210200 = 23527217599122453
BaseRepresentation
bin1011000111010011000011…
…0101001100111101011000
31121021012221220011112121211
42301310300311030331120
53100203030302211300
641553442511312504
72400603010313500
oct261646065147530
947235856145554
1012220001210200
113991523121293
12145439981b734
136a845871b484
143036461bca00
15162d0c29e4ba
hexb1d30d4cf58

12220001210200 has 288 divisors, whose sum is σ = 35052947316000. Its totient is φ = 3936645672960.

The previous prime is 12220001210159. The next prime is 12220001210213. The reversal of 12220001210200 is 201210002221.

It is a happy number.

12220001210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99732174 + ... + 99854626.

It is an arithmetic number, because the mean of its divisors is an integer number (121711622625).

Almost surely, 212220001210200 is an apocalyptic number.

12220001210200 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 12220001210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526473658000).

12220001210200 is an abundant number, since it is smaller than the sum of its proper divisors (22832946105800).

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

12220001210200 is a wasteful number, since it uses less digits than its factorization.

12220001210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123099 (or 123083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220001210200 its reverse (201210002221), we get a palindrome (12421211212421).

The spelling of 12220001210200 in words is "twelve trillion, two hundred twenty billion, one million, two hundred ten thousand, two hundred".