Search a number
-
+
12001034241240 = 23351187071104417
BaseRepresentation
bin1010111010100011010101…
…1000100000010011011000
31120111021202201012000001120
42232220311120200103120
53033111104231204430
641305110553245240
72346021546635052
oct256506530402330
946437681160046
1012001034241240
113907678a65630
121419a6a103820
13690900a58355
142d6bd30c08d2
1515c293b17610
hexaea356204d8

12001034241240 has 128 divisors (see below), whose sum is σ = 39276939294720. Its totient is φ = 2909280358400.

The previous prime is 12001034241227. The next prime is 12001034241247. The reversal of 12001034241240 is 4214243010021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12001034241240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001034241247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114881512 + ... + 114985928.

It is an arithmetic number, because the mean of its divisors is an integer number (306851088240).

Almost surely, 212001034241240 is an apocalyptic number.

12001034241240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001034241240 is an abundant number, since it is smaller than the sum of its proper divisors (27275905053480).

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

12001034241240 is a wasteful number, since it uses less digits than its factorization.

12001034241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191513 (or 191509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12001034241240 its reverse (4214243010021), we get a palindrome (16215277251261).

The spelling of 12001034241240 in words is "twelve trillion, one billion, thirty-four million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 87071 104417 174142 208834 261213 313251 348284 417668 435355 522085 522426 626502 696568 835336 870710 957781 1044170 1044852 1148587 1253004 1306065 1566255 1741420 1915562 2088340 2089704 2297174 2506008 2612130 2873343 3132510 3445761 3482840 3831124 4176680 4594348 4788905 5224260 5742935 5746686 6265020 6891522 7662248 9188696 9577810 10448520 11485870 11493372 12530040 13783044 14366715 17228805 19155620 22971740 22986744 27566088 28733430 34457610 38311240 45943480 57466860 68915220 114933720 137830440 9091692607 18183385214 27275077821 36366770428 45458463035 54550155642 72733540856 90916926070 100008618677 109100311284 136375389105 181833852140 200017237354 218200622568 272750778210 300025856031 363667704280 400034474708 500043093385 545501556420 600051712062 800068949416 1000086186770 1091003112840 1200103424124 1500129280155 2000172373540 2400206848248 3000258560310 4000344747080 6000517120620 12001034241240