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12012122100 = 22352113640037
BaseRepresentation
bin10110010111111101…
…00110111111110100
31011000010221000202010
423023332212333310
5144100100401400
65303541244220
7603446232066
oct131376467764
934003830663
1012012122100
115104591140
1223b2a03670
13119581a274
1481d495736
154a4867450
hex2cbfa6ff4

12012122100 has 72 divisors (see below), whose sum is σ = 37914635808. Its totient is φ = 2912028800.

The previous prime is 12012122099. The next prime is 12012122147. The reversal of 12012122100 is 122121021.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1816719 + ... + 1823318.

It is an arithmetic number, because the mean of its divisors is an integer number (526592164).

Almost surely, 212012122100 is an apocalyptic number.

12012122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012122100 is an abundant number, since it is smaller than the sum of its proper divisors (25902513708).

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

12012122100 is a wasteful number, since it uses less digits than its factorization.

12012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640065 (or 3640058 counting only the distinct ones).

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

Adding to 12012122100 its reverse (122121021), we get a palindrome (12134243121).

The spelling of 12012122100 in words is "twelve billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3640037 7280074 10920111 14560148 18200185 21840222 36400370 40040407 43680444 54600555 72800740 80080814 91000925 109201110 120121221 160161628 182001850 200202035 218402220 240242442 273002775 364003700 400404070 480484884 546005550 600606105 800808140 1001010175 1092011100 1201212210 2002020350 2402424420 3003030525 4004040700 6006061050 12012122100