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12014041222100 = 2252120140412221
BaseRepresentation
bin1010111011010011110010…
…1010001100101111010100
31120112112100012010002110102
42232310330222030233110
53033314224023101400
641315101354113232
72346662066306051
oct256647452145724
946475305102412
1012014041222100
113912143078895
12142049a11b818
13691bc4702628
142d76a8746028
1515c7a59979d5
hexaed3ca8cbd4

12014041222100 has 18 divisors (see below), whose sum is σ = 26070469452174. Its totient is φ = 4805616488800.

The previous prime is 12014041222091. The next prime is 12014041222103. The reversal of 12014041222100 is 122214041021.

It can be written as a sum of positive squares in 3 ways, for example, as 12777589444 + 12001263632656 = 113038^2 + 3464284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014041222103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60070206011 + ... + 60070206210.

Almost surely, 212014041222100 is an apocalyptic number.

12014041222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014041222100 is an abundant number, since it is smaller than the sum of its proper divisors (14056428230074).

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

12014041222100 is a wasteful number, since it uses less digits than its factorization.

12014041222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120140412235 (or 120140412228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12014041222100 its reverse (122214041021), we get a palindrome (12136255263121).

The spelling of 12014041222100 in words is "twelve trillion, fourteen billion, forty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120140412221 240280824442 480561648884 600702061105 1201404122210 2402808244420 3003510305525 6007020611050 12014041222100