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12741072240 = 2435132314129
BaseRepresentation
bin10111101110110110…
…10101010101110000
31012212221120112100110
423313123111111300
5202043203302430
65504141221320
7630510220131
oct136733252560
935787515313
1012741072240
115449004176
122576b61840
131280854800
1488c207c88
154e88577b0
hex2f76d5570

12741072240 has 120 divisors (see below), whose sum is σ = 42769427760. Its totient is φ = 3136253952.

The previous prime is 12741072173. The next prime is 12741072241. The reversal of 12741072240 is 4227014721.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12741072198 and 12741072207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12741072241) 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, 116505 + ... + 197624.

It is an arithmetic number, because the mean of its divisors is an integer number (356411898).

Almost surely, 212741072240 is an apocalyptic number.

12741072240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12741072240 is an abundant number, since it is smaller than the sum of its proper divisors (30028355520).

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

12741072240 is a wasteful number, since it uses less digits than its factorization.

12741072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314171 (or 314152 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

Adding to 12741072240 its reverse (4227014721), we get a palindrome (16968086961).

The spelling of 12741072240 in words is "twelve billion, seven hundred forty-one million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 314129 628258 942387 1256516 1570645 1884774 2513032 3141290 3769548 4083677 4711935 5026064 6282580 7539096 8167354 9423870 12251031 12565160 15078192 16334708 18847740 20418385 24502062 25130320 32669416 37695480 40836770 49004124 53087801 61255155 65338832 75390960 81673540 98008248 106175602 122510310 159263403 163347080 196016496 212351204 245020620 265439005 318526806 326694160 424702408 490041240 530878010 637053612 796317015 849404816 980082480 1061756020 1274107224 1592634030 2123512040 2548214448 3185268060 4247024080 6370536120 12741072240