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12200222100 = 22352113697037
BaseRepresentation
bin10110101110011000…
…01001110110010100
31011111020212111102210
423113030021312110
5144441224101400
65334341033420
7611222114433
oct132714116624
934436774383
1012200222100
1151a0786490
1224459b5870
1311c5798c41
1483a45b11a
154b6120950
hex2d7309d94

12200222100 has 72 divisors (see below), whose sum is σ = 38508347808. Its totient is φ = 2957628800.

The previous prime is 12200222039. The next prime is 12200222119. The reversal of 12200222100 is 122200221.

12200222100 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 (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1845219 + ... + 1851818.

It is an arithmetic number, because the mean of its divisors is an integer number (534838164).

Almost surely, 212200222100 is an apocalyptic number.

12200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200222100 is an abundant number, since it is smaller than the sum of its proper divisors (26308125708).

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

12200222100 is a wasteful number, since it uses less digits than its factorization.

12200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697065 (or 3697058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200222100 its reverse (122200221), we get a palindrome (12322422321).

The spelling of 12200222100 in words is "twelve billion, two hundred million, two 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 3697037 7394074 11091111 14788148 18485185 22182222 36970370 40667407 44364444 55455555 73940740 81334814 92425925 110911110 122002221 162669628 184851850 203337035 221822220 244004442 277277775 369703700 406674070 488008884 554555550 610011105 813348140 1016685175 1109111100 1220022210 2033370350 2440044420 3050055525 4066740700 6100111050 12200222100