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12012211200100 = 2252120122112001
BaseRepresentation
bin1010111011001100111110…
…0101001110000001100100
31120112100121122121100012211
42232303033211032001210
53033302002031400400
641314200022253204
72346565535341666
oct256631745160144
946470548540184
1012012211200100
113911394079211
121420069287204
13691992530587
142d7573696536
1515c6e9eaddba
hexaeccf94e064

12012211200100 has 18 divisors (see below), whose sum is σ = 26066498304434. Its totient is φ = 4804884480000.

The previous prime is 12012211200013. The next prime is 12012211200107. The reversal of 12012211200100 is 100211221021.

12012211200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 167091277824 + 11845119922276 = 408768^2 + 3441674^2 .

It is not an unprimeable number, because it can be changed into a prime (12012211200107) 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, 60061055901 + ... + 60061056100.

Almost surely, 212012211200100 is an apocalyptic number.

12012211200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012211200100 is an abundant number, since it is smaller than the sum of its proper divisors (14054287104334).

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

12012211200100 is a wasteful number, since it uses less digits than its factorization.

12012211200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120122112015 (or 120122112008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12012211200100 its reverse (100211221021), we get a palindrome (12112422421121).

It can be divided in two parts, 12012 and 211200100, that added together give a palindrome (211212112).

The spelling of 12012211200100 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120122112001 240244224002 480488448004 600610560005 1201221120010 2402442240020 3003052800025 6006105600050 12012211200100