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12200001002210 = 257224897961229
BaseRepresentation
bin1011000110001000100010…
…1110011101101011100010
31121012022100001020201001202
42301202020232131223202
53044341100224032320
641540334133401202
72366264253332300
oct261421056355342
947168301221052
1012200001002210
113983a9a56aa7a
121450537799202
136a65bbc9cc88
143026a9c81270
1516253b4e1b75
hexb1888b9dae2

12200001002210 has 24 divisors (see below), whose sum is σ = 25545308221980. Its totient is φ = 4182857486304.

The previous prime is 12200001002183. The next prime is 12200001002219. The reversal of 12200001002210 is 1220010000221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11694464360089 + 505536642121 = 3419717^2 + 711011^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12200001002191 and 12200001002200.

It is not an unprimeable number, because it can be changed into a prime (12200001002219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12448980125 + ... + 12448981104.

Almost surely, 212200001002210 is an apocalyptic number.

12200001002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200001002210 is an abundant number, since it is smaller than the sum of its proper divisors (13345307219770).

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

12200001002210 is a wasteful number, since it uses less digits than its factorization.

12200001002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24897961250 (or 24897961243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200001002210 its reverse (1220010000221), we get a palindrome (13420011002431).

The spelling of 12200001002210 in words is "twelve trillion, two hundred billion, one million, two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 24897961229 49795922458 124489806145 174285728603 248979612290 348571457206 871428643015 1220000100221 1742857286030 2440000200442 6100000501105 12200001002210