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212200012200 = 2335211298912457
BaseRepresentation
bin1100010110100000011…
…0110011100110101000
3202021201120202112000010
43011220012303212220
511434041200342300
6241252222411520
721221341225461
oct3055006634650
9667646675003
10212200012200
1181aa2413a10
1235161430ba0
1317019a436c7
14a3b04c5d68
1557be552a50
hex31681b39a8

212200012200 has 384 divisors, whose sum is σ = 750768912000. Its totient is φ = 49106534400.

The previous prime is 212200012183. The next prime is 212200012217. The reversal of 212200012200 is 2210002212.

It is an interprime number because it is at equal distance from previous prime (212200012183) and next prime (212200012217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17028372 + ... + 17040828.

It is an arithmetic number, because the mean of its divisors is an integer number (1955127375).

Almost surely, 2212200012200 is an apocalyptic number.

212200012200 is a gapful number since it is divisible by the number (20) 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 212200012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375384456000).

212200012200 is an abundant number, since it is smaller than the sum of its proper divisors (538568899800).

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

212200012200 is a wasteful number, since it uses less digits than its factorization.

212200012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212200012200 its reverse (2210002212), we get a palindrome (214410014412).

The spelling of 212200012200 in words is "two hundred twelve billion, two hundred million, twelve thousand, two hundred".