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12200000120994 = 2372195873720667
BaseRepresentation
bin1011000110001000100010…
…1011000110100010100010
31121012022022222120221021010
42301202020223012202202
53044341100012332434
641540334102441350
72366264243002200
oct261421053064242
947168288527233
1012200000120994
113983a9a0189a4
121450537433256
136a65bba51b4a
143026a9ad2070
1516253b3ba9e9
hexb1888ac68a2

12200000120994 has 96 divisors (see below), whose sum is σ = 29928458085120. Its totient is φ = 3296629137312.

The previous prime is 12200000120993. The next prime is 12200000121151. The reversal of 12200000120994 is 49902100000221.

It is a happy number.

It is a super-2 number, since 2×122000001209942 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12200000120993) 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 47 ways as a sum of consecutive naturals, for example, 1418649 + ... + 5139315.

It is an arithmetic number, because the mean of its divisors is an integer number (311754771720).

Almost surely, 212200000120994 is an apocalyptic number.

12200000120994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200000120994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964229042560).

12200000120994 is an abundant number, since it is smaller than the sum of its proper divisors (17728457964126).

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

12200000120994 is a wasteful number, since it uses less digits than its factorization.

12200000120994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721292 (or 3721285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12200000120994 in words is "twelve trillion, two hundred billion, one hundred twenty thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 587 798 931 1174 1761 1862 2793 3522 4109 5586 8218 11153 12327 22306 24654 28763 33459 57526 66918 78071 86289 156142 172578 234213 468426 546497 1092994 1639491 3278982 3720667 7441334 11162001 22324002 26044669 52089338 70692673 78134007 141385346 156268014 182312683 212078019 364625366 424156038 494848711 546938049 989697422 1093876098 1484546133 2184031529 2969092266 3463940977 4368063058 6552094587 6927881954 10391822931 13104189174 15288220703 20783645862 30576441406 41496599051 45864662109 82993198102 91729324218 107017544921 124489797153 214035089842 248979594306 290476193357 321052634763 580952386714 642105269526 871428580071 1742857160142 2033333353499 4066666706998 6100000060497 12200000120994