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12197104038 = 2337792331753
BaseRepresentation
bin10110101110000000…
…10000100110100110
31011111001000002021000
423113000100212212
5144434424312123
65334150134130
7611153450040
oct132700204646
934431002230
1012197104038
115199a46879
122444951346
1311c4c46932
14839c88a90
154b5c06b43
hex2d70109a6

12197104038 has 128 divisors (see below), whose sum is σ = 31521484800. Its totient is φ = 3424052736.

The previous prime is 12197104009. The next prime is 12197104061. The reversal of 12197104038 is 83040179121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12197103993 and 12197104011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6956970 + ... + 6958722.

It is an arithmetic number, because the mean of its divisors is an integer number (246261600).

Almost surely, 212197104038 is an apocalyptic number.

12197104038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12197104038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760742400).

12197104038 is an abundant number, since it is smaller than the sum of its proper divisors (19324380762).

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

12197104038 is a wasteful number, since it uses less digits than its factorization.

12197104038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12197104038 in words is "twelve billion, one hundred ninety-seven million, one hundred four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 233 237 378 466 474 553 699 711 1106 1398 1422 1631 1659 1753 2097 2133 3262 3318 3506 4194 4266 4893 4977 5259 6291 9786 9954 10518 12271 12582 14679 14931 15777 18407 24542 29358 29862 31554 36813 36814 44037 47331 55221 73626 88074 94662 110439 110442 128849 138487 165663 220878 257698 276974 331317 331326 386547 408449 415461 496989 662634 773094 816898 830922 969409 993978 1159641 1225347 1246383 1938818 2319282 2450694 2492766 2859143 2908227 3478923 3676041 3739149 5718286 5816454 6957846 7352082 7478298 8577429 8724681 11028123 17154858 17449362 22056246 25732287 26174043 32267471 51464574 52348086 64534942 77196861 96802413 154393722 193604826 225872297 290407239 451744594 580814478 677616891 871221717 1355233782 1742443434 2032850673 4065701346 6098552019 12197104038