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12212000200 = 2352241253361
BaseRepresentation
bin10110101111110010…
…00101010111001000
31011112002000212221201
423113321011113020
5200002233001300
65335441313544
7611424201061
oct132771052710
934462025851
1012212000200
1151a73a0554
1224499358b4
1311c8060c2a
1483bc45568
154b719a66a
hex2d7e455c8

12212000200 has 48 divisors (see below), whose sum is σ = 28510825860. Its totient is φ = 4864512000.

The previous prime is 12212000197. The next prime is 12212000209. The reversal of 12212000200 is 200021221.

It can be written as a sum of positive squares in 6 ways, for example, as 4186348804 + 8025651396 = 64702^2 + 89586^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12212000209) 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, 78481 + ... + 174880.

Almost surely, 212212000200 is an apocalyptic number.

12212000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000200 is an abundant number, since it is smaller than the sum of its proper divisors (16298825660).

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

12212000200 is a wasteful number, since it uses less digits than its factorization.

12212000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253618 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12212000200 its reverse (200021221), we get a palindrome (12412021421).

It can be divided in two parts, 12 and 212000200, that added together give a palindrome (212000212).

The spelling of 12212000200 in words is "twelve billion, two hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 9640 12050 24100 48200 253361 506722 1013444 1266805 2026888 2533610 5067220 6334025 10134440 12668050 25336100 50672200 61060001 122120002 244240004 305300005 488480008 610600010 1221200020 1526500025 2442400040 3053000050 6106000100 12212000200