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12202000200 = 233252132572029
BaseRepresentation
bin10110101110100101…
…11011111101001000
31011111101012211112100
423113102323331020
5144442203001300
65334443113400
7611243201415
oct132722737510
934441184470
1012202000200
1151a1790395
122446512860
1311c5c6c380
1483a7a110c
154b6372700
hex2d74bbf48

12202000200 has 288 divisors, whose sum is σ = 44324116200. Its totient is φ = 2990407680.

The previous prime is 12202000177. The next prime is 12202000243. The reversal of 12202000200 is 200020221.

It can be written as a sum of positive squares in 12 ways, for example, as 5475704004 + 6726296196 = 73998^2 + 82014^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 6012786 + ... + 6014814.

Almost surely, 212202000200 is an apocalyptic number.

12202000200 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 12202000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22162058100).

12202000200 is an abundant number, since it is smaller than the sum of its proper divisors (32122116000).

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

12202000200 is a wasteful number, since it uses less digits than its factorization.

12202000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12202000200 its reverse (200020221), we get a palindrome (12402020421).

The spelling of 12202000200 in words is "twelve billion, two hundred two million, two hundred", and thus it is an aban number.