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12200111000109 = 331732719637949
BaseRepresentation
bin1011000110001000111101…
…0010000100101000101101
31121012022121201020011211000
42301202033102010220231
53044341311404000414
641540353103150513
72366300060315004
oct261421722045055
947168551204730
1012200111000109
11398404667002a
1214505685a5439
136a6608a043a6
143026ba715c3b
15162545ebdb09
hexb188f484a2d

12200111000109 has 32 divisors (see below), whose sum is σ = 18245795904000. Its totient is φ = 8056553492160.

The previous prime is 12200111000027. The next prime is 12200111000113. The reversal of 12200111000109 is 90100011100221.

It is a happy number.

It is not a de Polignac number, because 12200111000109 - 231 = 12197963516461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200111000091 and 12200111000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200111000009) 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 31 ways as a sum of consecutive naturals, for example, 3553134 + ... + 6084815.

It is an arithmetic number, because the mean of its divisors is an integer number (570181122000).

Almost surely, 212200111000109 is an apocalyptic number.

It is an amenable number.

12200111000109 is a deficient number, since it is larger than the sum of its proper divisors (6045684903891).

12200111000109 is a wasteful number, since it uses less digits than its factorization.

12200111000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638402 (or 9638396 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 12200111000109 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred nine", and thus it is an aban number.

Divisors: 1 3 9 27 173 271 519 813 1557 2439 4671 7317 46883 140649 421947 1265841 9637949 28913847 86741541 260224623 1667365177 2611884179 5002095531 7835652537 15006286593 23506957611 45018859779 70520872833 451855962967 1355567888901 4066703666703 12200111000109