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12041112440 = 2357192778171
BaseRepresentation
bin10110011011011010…
…01100101101111000
31011002011110220000102
423031231030231320
5144130011044230
65310454454532
7604250524040
oct131555145570
934064426012
1012041112440
115119991aa5
122400664448
13119b82a806
14823280720
154a7192045
hex2cdb4cb78

12041112440 has 128 divisors (see below), whose sum is σ = 32714150400. Its totient is φ = 3896501760.

The previous prime is 12041112439. The next prime is 12041112469. The reversal of 12041112440 is 4421114021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 1469555 + ... + 1477725.

It is an arithmetic number, because the mean of its divisors is an integer number (255579300).

Almost surely, 212041112440 is an apocalyptic number.

12041112440 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 12041112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357075200).

12041112440 is an abundant number, since it is smaller than the sum of its proper divisors (20673037960).

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

12041112440 is a wasteful number, since it uses less digits than its factorization.

12041112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12041112440 its reverse (4421114021), we get a palindrome (16462226461).

The spelling of 12041112440 in words is "twelve billion, forty-one million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 277 280 380 532 554 665 760 1064 1108 1330 1385 1939 2216 2660 2770 3878 5263 5320 5540 7756 8171 9695 10526 11080 15512 16342 19390 21052 26315 32684 36841 38780 40855 42104 52630 57197 65368 73682 77560 81710 105260 114394 147364 155249 163420 184205 210520 228788 285985 294728 310498 326840 368410 457576 571970 620996 736820 776245 1086743 1143940 1241992 1473640 1552490 2173486 2263367 2287880 3104980 4346972 4526734 5433715 6209960 8693944 9053468 10867430 11316835 15843569 18106936 21734860 22633670 31687138 43003973 43469720 45267340 63374276 79217845 86007946 90534680 126748552 158435690 172015892 215019865 301027811 316871380 344031784 430039730 602055622 633742760 860079460 1204111244 1505139055 1720158920 2408222488 3010278110 6020556220 12041112440