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12120877736 = 2311173128431
BaseRepresentation
bin10110100100111010…
…11110101010101000
31011021201120101102122
423102131132222220
5144310421041421
65322424250412
7606236521652
oct132235365250
934251511378
1012120877736
11515aa12930
122423310a08
1311b2208106
1482dac56d2
154ae19b2ab
hex2d275eaa8

12120877736 has 96 divisors (see below), whose sum is σ = 27128442240. Its totient is φ = 5017536000.

The previous prime is 12120877723. The next prime is 12120877739. The reversal of 12120877736 is 63777802121.

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

It is not an unprimeable number, because it can be changed into a prime (12120877739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433441 + ... + 1441871.

It is an arithmetic number, because the mean of its divisors is an integer number (282587940).

Almost surely, 212120877736 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 12120877736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564221120).

12120877736 is an abundant number, since it is smaller than the sum of its proper divisors (15007564504).

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

12120877736 is a wasteful number, since it uses less digits than its factorization.

12120877736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8492 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 12120877736 in words is "twelve billion, one hundred twenty million, eight hundred seventy-seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 961 1054 1364 1496 1922 2108 2728 3844 4216 5797 7688 8431 10571 11594 16337 16862 21142 23188 32674 33724 42284 46376 65348 67448 84568 92741 130696 143327 179707 185482 261361 286654 359414 370964 522722 573308 718828 741928 1045444 1146616 1437656 1576597 2090888 2874971 3153194 4443137 5749942 6306388 8102191 8886274 11499884 12612776 16204382 17772548 22999768 32408764 35545096 48874507 64817528 89124101 97749014 137737247 178248202 195498028 275474494 356496404 390996056 550948988 712992808 1101897976 1515109717 3030219434 6060438868 12120877736