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12012200200 = 235271113292069
BaseRepresentation
bin10110010111111101…
…11010000100001000
31011000011001222212201
423023332322010020
5144100110401300
65303543045544
7603450005560
oct131376720410
934004058781
1012012200200
115104634890
1223b2a408b4
131195846990
1481d4b5da0
154a488066a
hex2cbfba108

12012200200 has 384 divisors, whose sum is σ = 38810016000. Its totient is φ = 3335270400.

The previous prime is 12012200143. The next prime is 12012200203. The reversal of 12012200200 is 200221021.

12012200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12012200203) by changing a digit.

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, 5804766 + ... + 5806834.

It is an arithmetic number, because the mean of its divisors is an integer number (101067750).

Almost surely, 212012200200 is an apocalyptic number.

12012200200 is a gapful number since it is divisible by the number (10) 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 12012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405008000).

12012200200 is an abundant number, since it is smaller than the sum of its proper divisors (26797815800).

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

12012200200 is a wasteful number, since it uses less digits than its factorization.

12012200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12012200200 its reverse (200221021), we get a palindrome (12212421221).

It can be divided in two parts, 12012 and 200200, that added together give a palindrome (212212).

The spelling of 12012200200 in words is "twelve billion, twelve million, two hundred thousand, two hundred".