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12011321441240 = 2351173794733563
BaseRepresentation
bin1010111011001001101010…
…0011000011101111011000
31120112021022122100220111222
42232302122203003233120
53033243141242104430
641313531435511212
72346534512455562
oct256623243035730
946467278326458
1012011321441240
113910a77901210
12141ba5b2b8508
136918800b1444
142d74cb444332
1515c696d069e5
hexaec9a8c3bd8

12011321441240 has 128 divisors (see below), whose sum is σ = 30264514790400. Its totient is φ = 4253389470720.

The previous prime is 12011321441213. The next prime is 12011321441269. The reversal of 12011321441240 is 4214412311021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170699 + ... + 4904261.

It is an arithmetic number, because the mean of its divisors is an integer number (236441521800).

Almost surely, 212011321441240 is an apocalyptic number.

12011321441240 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 12011321441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132257395200).

12011321441240 is an abundant number, since it is smaller than the sum of its proper divisors (18253193349160).

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

12011321441240 is a wasteful number, since it uses less digits than its factorization.

12011321441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733737 (or 4733733 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12011321441240 its reverse (4214412311021), we get a palindrome (16225733752261).

The spelling of 12011321441240 in words is "twelve trillion, eleven billion, three hundred twenty-one million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 79 88 110 146 158 220 292 316 365 395 440 584 632 730 790 803 869 1460 1580 1606 1738 2920 3160 3212 3476 4015 4345 5767 6424 6952 8030 8690 11534 16060 17380 23068 28835 32120 34760 46136 57670 63437 115340 126874 230680 253748 317185 507496 634370 1268740 2537480 4733563 9467126 18934252 23667815 37868504 47335630 52069193 94671260 104138386 189342520 208276772 260345965 345550099 373951477 416553544 520691930 691100198 747902954 1041383860 1382200396 1495805908 1727750495 1869757385 2082767720 2764400792 2991611816 3455500990 3739514770 3801051089 4113466247 6911001980 7479029540 7602102178 8226932494 13822003960 14958059080 15204204356 16453864988 19005255445 20567331235 27298457821 30408408712 32907729976 38010510890 41134662470 54596915642 76021021780 82269324940 109193831284 136492289105 152042043560 164538649880 218387662568 272984578210 300283036031 545969156420 600566072062 1091938312840 1201132144124 1501415180155 2402264288248 3002830360310 6005660720620 12011321441240