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12012121200 = 2435210010101
BaseRepresentation
bin10110010111111101…
…00110110001110000
31011000010220222111210
423023332212301300
5144100100334300
65303541240120
7603446226342
oct131376466160
934003828453
1012012121200
1151045904a2
1223b2a03040
131195819a31
1481d495292
154a4867050
hex2cbfa6c70

12012121200 has 60 divisors (see below), whose sum is σ = 38478832088. Its totient is φ = 3203232000.

The previous prime is 12012121109. The next prime is 12012121201. The reversal of 12012121200 is 212121021.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012121201) 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, 5003851 + ... + 5006250.

Almost surely, 212012121200 is an apocalyptic number.

12012121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012121200 is an abundant number, since it is smaller than the sum of its proper divisors (26466710888).

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

12012121200 is a wasteful number, since it uses less digits than its factorization.

12012121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010122 (or 10010111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012121200 its reverse (212121021), we get a palindrome (12224242221).

The spelling of 12012121200 in words is "twelve billion, twelve million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10010101 20020202 30030303 40040404 50050505 60060606 80080808 100101010 120121212 150151515 160161616 200202020 240242424 250252525 300303030 400404040 480484848 500505050 600606060 750757575 800808080 1001010100 1201212120 1501515150 2002020200 2402424240 3003030300 4004040400 6006060600 12012121200