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12182199128 = 23112941173673
BaseRepresentation
bin10110101100001110…
…11001101101011000
31011102222221211120022
423112013121231120
5144422120333003
65332454450012
7610612661351
oct132607315530
934388854508
1012182199128
115191596570
12243b963908
1311c1b28668
14837cc8d28
154b4760738
hex2d61d9b58

12182199128 has 128 divisors (see below), whose sum is σ = 26598196800. Its totient is φ = 5178163200.

The previous prime is 12182199103. The next prime is 12182199131. The reversal of 12182199128 is 82199128121.

It is a Cunningham number, because it is equal to 1103732-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18101000 + ... + 18101672.

Almost surely, 212182199128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12182199128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299098400).

12182199128 is an abundant number, since it is smaller than the sum of its proper divisors (14415997672).

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

12182199128 is a wasteful number, since it uses less digits than its factorization.

12182199128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its digits is 41472, while the sum is 44.

The spelling of 12182199128 in words is "twelve billion, one hundred eighty-two million, one hundred ninety-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 116 164 173 232 319 328 346 451 638 673 692 902 1189 1276 1346 1384 1804 1903 2378 2552 2692 3608 3806 4756 5017 5384 7093 7403 7612 9512 10034 13079 14186 14806 15224 19517 20068 26158 27593 28372 29612 39034 40136 52316 55186 55187 56744 59224 78023 78068 104632 110372 110374 116429 156046 156136 205697 214687 220744 220748 232858 303523 312092 411394 429374 441496 465716 607046 624184 800197 822788 858748 931432 1214092 1280719 1600394 1645576 1717496 2262667 2428184 2561438 3200788 3376441 4525334 4773589 5122876 6401576 6752882 8802167 9050668 9547178 10245752 13505764 17604334 18101336 19094356 27011528 35208668 37140851 38188712 52509479 70417336 74281702 105018958 138434081 148563404 210037916 276868162 297126808 420075832 553736324 1107472648 1522774891 3045549782 6091099564 12182199128