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12199341144 = 2332943537691
BaseRepresentation
bin10110101110010001…
…10010110001011000
31011111012012201222210
423113020302301120
5144441012404034
65334310115120
7611211455154
oct132710626130
934435181883
1012199341144
1151a0234621
12244564baa0
1311c554ac73
1483a2ac064
154b5ee98e9
hex2d7232c58

12199341144 has 128 divisors (see below), whose sum is σ = 32897145600. Its totient is φ = 3762071040.

The previous prime is 12199341131. The next prime is 12199341163. The reversal of 12199341144 is 44114399121.

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, 1582339 + ... + 1590029.

It is an arithmetic number, because the mean of its divisors is an integer number (257008950).

Almost surely, 212199341144 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 12199341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448572800).

12199341144 is an abundant number, since it is smaller than the sum of its proper divisors (20697804456).

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

12199341144 is a wasteful number, since it uses less digits than its factorization.

12199341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825 (or 7821 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 12199341144 in words is "twelve billion, one hundred ninety-nine million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 53 58 86 87 106 116 129 159 172 174 212 232 258 318 344 348 424 516 636 696 1032 1247 1272 1537 2279 2494 3074 3741 4558 4611 4988 6148 6837 7482 7691 9116 9222 9976 12296 13674 14964 15382 18232 18444 23073 27348 29928 30764 36888 46146 54696 61528 66091 92292 132182 184584 198273 223039 264364 330713 396546 407623 446078 528728 661426 669117 793092 815246 892156 992139 1222869 1322852 1338234 1586184 1630492 1784312 1984278 2445738 2645704 2676468 3260984 3968556 4891476 5352936 7937112 9590677 9782952 11821067 17527789 19181354 23642134 28772031 35055578 35463201 38362708 47284268 52583367 57544062 70111156 70926402 76725416 94568536 105166734 115088124 140222312 141852804 210333468 230176248 283705608 420666936 508305881 1016611762 1524917643 2033223524 3049835286 4066447048 6099670572 12199341144