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12070861740 = 22325789107641
BaseRepresentation
bin10110011110111101…
…01011101110101100
31011011020110022101100
423033132223232230
5144210120033430
65313440243100
7605061426510
oct131736535654
934136408340
1012070861740
1151347610a3
12240a610490
1311a4a45652
148271c6140
154a9abb960
hex2cf7abbac

12070861740 has 144 divisors (see below), whose sum is σ = 42316223040. Its totient is φ = 2728028160.

The previous prime is 12070861717. The next prime is 12070861741. The reversal of 12070861740 is 4716807021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12070861695 and 12070861704.

It is not an unprimeable number, because it can be changed into a prime (12070861741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58320 + ... + 165960.

It is an arithmetic number, because the mean of its divisors is an integer number (293862660).

Almost surely, 212070861740 is an apocalyptic number.

12070861740 is a gapful number since it is divisible by the number (10) 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 12070861740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158111520).

12070861740 is an abundant number, since it is smaller than the sum of its proper divisors (30245361300).

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

12070861740 is a wasteful number, since it uses less digits than its factorization.

12070861740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107752 (or 107747 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12070861740 in words is "twelve billion, seventy million, eight hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 107641 112140 215282 322923 430564 538205 645846 753487 968769 1076410 1291692 1506974 1614615 1937538 2152820 2260461 3013948 3229230 3767435 3875076 4520922 4843845 6458460 6781383 7534870 9041844 9580049 9687690 11302305 13562766 15069740 19160098 19375380 22604610 27125532 28740147 33906915 38320196 45209220 47900245 57480294 67060343 67813830 86220441 95800490 114960588 134120686 135627660 143700735 172440882 191600980 201181029 268241372 287401470 335301715 344881764 402362058 431102205 574802940 603543087 670603430 804724116 862204410 1005905145 1207086174 1341206860 1724408820 2011810290 2414172348 3017715435 4023620580 6035430870 12070861740