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12198349983972 = 22329791399317159
BaseRepresentation
bin1011000110000010011001…
…0100010101000011100100
31121012011001222120021211010
42301200212110111003210
53044324210043441342
641535502234342220
72366205325034115
oct261404624250344
947164058507733
1012198349983972
113983322612599
12145015688a970
136a63b7c134c9
143025908aa20c
151624915b629c
hexb18265150e4

12198349983972 has 96 divisors (see below), whose sum is σ = 29838412800000. Its totient is φ = 3873427818624.

The previous prime is 12198349983959. The next prime is 12198349983979. The reversal of 12198349983972 is 27938994389121.

It is a junction number, because it is equal to n+sod(n) for n = 12198349983894 and 12198349983903.

It is not an unprimeable number, because it can be changed into a prime (12198349983979) 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 31 ways as a sum of consecutive naturals, for example, 38302729 + ... + 38619887.

It is an arithmetic number, because the mean of its divisors is an integer number (310816800000).

Almost surely, 212198349983972 is an apocalyptic number.

12198349983972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198349983972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919206400000).

12198349983972 is an abundant number, since it is smaller than the sum of its proper divisors (17640062816028).

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

12198349983972 is a wasteful number, since it uses less digits than its factorization.

12198349983972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318673 (or 318671 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 75.

The spelling of 12198349983972 in words is "twelve trillion, one hundred ninety-eight billion, three hundred forty-nine million, nine hundred eighty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 237 316 348 474 948 1399 2291 2798 4197 4582 5596 6873 8394 9164 13746 16788 27492 40571 81142 110521 121713 162284 221042 243426 317159 331563 442084 486852 634318 663126 951477 1268636 1326252 1902954 3205109 3805908 6410218 9197611 9615327 12820436 18395222 19230654 25055561 27592833 36790444 38461308 50111122 55185666 75166683 100222244 110371332 150333366 300666732 443705441 726611269 887410882 1331116323 1453222538 1774821764 2179833807 2662232646 2906445076 4359667614 5324465292 8719335228 12867457789 25734915578 35052729839 38602373367 51469831156 70105459678 77204746734 105158189517 140210919356 154409493468 210316379034 420632758068 1016529165331 2033058330662 3049587495993 4066116661324 6099174991986 12198349983972