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12211302344200 = 2352173591559513
BaseRepresentation
bin1011000110110010101001…
…0101101010011000001000
31121020101111122201100210121
42301230222111222120020
53100032221400003300
641545443404353024
72400144312214231
oct261545225523010
947211448640717
1012211302344200
113988869909533
121452770545774
136a76a047519b
1430305cb94088
1516299d75781a
hexb1b2a56a608

12211302344200 has 48 divisors (see below), whose sum is σ = 30061353132180. Its totient is φ = 4597196175360.

The previous prime is 12211302344179. The next prime is 12211302344203. The reversal of 12211302344200 is 244320311221.

It can be written as a sum of positive squares in 6 ways, for example, as 10068550917604 + 2142751426596 = 3173098^2 + 1463814^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12211302344203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795776357 + ... + 1795783156.

Almost surely, 212211302344200 is an apocalyptic number.

12211302344200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211302344200 is an abundant number, since it is smaller than the sum of its proper divisors (17850050787980).

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

12211302344200 is a wasteful number, since it uses less digits than its factorization.

12211302344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591559546 (or 3591559537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12211302344200 its reverse (244320311221), we get a palindrome (12455622655421).

The spelling of 12211302344200 in words is "twelve trillion, two hundred eleven billion, three hundred two million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3591559513 7183119026 14366238052 17957797565 28732476104 35915595130 61056511721 71831190260 89788987825 122113023442 143662380520 179577975650 244226046884 305282558605 359155951300 488452093768 610565117210 718311902600 1221130234420 1526412793025 2442260468840 3052825586050 6105651172100 12211302344200