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12040197288 = 233731798171
BaseRepresentation
bin10110011011010011…
…01101010010101000
31011002002202101122220
423031221231102220
5144124242303123
65310423114040
7604236663000
oct131551552250
934062671586
1012040197288
115119417479
1224002a2920
13119b59a0c2
148230c3000
154a7060ce3
hex2cda6d4a8

12040197288 has 128 divisors (see below), whose sum is σ = 35303040000. Its totient is φ = 3420419520.

The previous prime is 12040197271. The next prime is 12040197331. The reversal of 12040197288 is 88279104021.

12040197288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469443 + ... + 1477613.

It is an arithmetic number, because the mean of its divisors is an integer number (275805000).

Almost surely, 212040197288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040197288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17651520000).

12040197288 is an abundant number, since it is smaller than the sum of its proper divisors (23262842712).

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

12040197288 is a wasteful number, since it uses less digits than its factorization.

12040197288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 12040197288 in words is "twelve billion, forty million, one hundred ninety-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 179 196 294 343 358 392 537 588 686 716 1029 1074 1176 1253 1372 1432 2058 2148 2506 2744 3759 4116 4296 5012 7518 8171 8232 8771 10024 15036 16342 17542 24513 26313 30072 32684 35084 49026 52626 57197 61397 65368 70168 98052 105252 114394 122794 171591 184191 196104 210504 228788 245588 343182 368382 400379 457576 491176 686364 736764 800758 1201137 1372728 1462609 1473528 1601516 2402274 2802653 2925218 3203032 4387827 4804548 5605306 5850436 8407959 8775654 9609096 10238263 11210612 11700872 16815918 17551308 20476526 22421224 30714789 33631836 35102616 40953052 61429578 67263672 71667841 81906104 122859156 143335682 215003523 245718312 286671364 430007046 501674887 573342728 860014092 1003349774 1505024661 1720028184 2006699548 3010049322 4013399096 6020098644 12040197288