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12012200010100 = 2252120122000101
BaseRepresentation
bin1010111011001100111011…
…1010100010000101110100
31120112100120212112211102101
42232303032322202011310
53033301441200310400
641314154542351444
72346565341255043
oct256631672420564
946470525484371
1012012200010100
113911388825a84
12142006558b584
13691990113184
142d7571dc255a
1515c6e8eed56a
hexaecceea2174

12012200010100 has 18 divisors (see below), whose sum is σ = 26066474022134. Its totient is φ = 4804880004000.

The previous prime is 12012200010089. The next prime is 12012200010103. The reversal of 12012200010100 is 101000221021.

It can be written as a sum of positive squares in 3 ways, for example, as 2567961380196 + 9444238629904 = 1602486^2 + 3073148^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012200010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60060999951 + ... + 60061000150.

Almost surely, 212012200010100 is an apocalyptic number.

12012200010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012200010100 is an abundant number, since it is smaller than the sum of its proper divisors (14054274012034).

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

12012200010100 is a wasteful number, since it uses less digits than its factorization.

12012200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120122000115 (or 120122000108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12012200010100 its reverse (101000221021), we get a palindrome (12113200231121).

The spelling of 12012200010100 in words is "twelve trillion, twelve billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120122000101 240244000202 480488000404 600610000505 1201220001010 2402440002020 3003050002525 6006100005050 12012200010100