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12040003352 = 23133771127347
BaseRepresentation
bin10110011011010001…
…11101111100011000
31011002002101112122002
423031220331330120
5144124220101402
65310415020132
7604235224406
oct131550757430
934062345562
1012040003352
1151192a47a3
12240020a648
13119b52ca50
14823072476
154a7023602
hex2cda3df18

12040003352 has 128 divisors (see below), whose sum is σ = 25593200640. Its totient is φ = 5273372160.

The previous prime is 12040003343. The next prime is 12040003357. The reversal of 12040003352 is 25330004021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040003357) 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, 34697243 + ... + 34697589.

It is an arithmetic number, because the mean of its divisors is an integer number (199946880).

Almost surely, 212040003352 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 12040003352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796600320).

12040003352 is an abundant number, since it is smaller than the sum of its proper divisors (13553197288).

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

12040003352 is a wasteful number, since it uses less digits than its factorization.

12040003352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12040003352 its reverse (25330004021), we get a palindrome (37370007373).

The spelling of 12040003352 in words is "twelve billion, forty million, three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 37 52 71 74 104 127 142 148 254 284 296 347 481 508 568 694 923 962 1016 1388 1651 1846 1924 2627 2776 3302 3692 3848 4511 4699 5254 6604 7384 9017 9022 9398 10508 12839 13208 18034 18044 18796 21016 24637 25678 34151 36068 36088 37592 44069 49274 51356 61087 68302 72136 88138 98548 102712 117221 122174 136604 166907 176276 197096 234442 244348 273208 320281 333629 333814 352552 468884 488696 572897 640562 667258 667628 911569 937768 1145794 1281124 1334516 1335256 1630553 1823138 2291588 2562248 2669032 3128899 3261106 3646276 4337177 4583176 6257798 6522212 7292552 8674354 11850397 12515596 13044424 17348708 21197189 23700794 25031192 34697416 40675687 42394378 47401588 81351374 84788756 94803176 115769263 162702748 169577512 231538526 325405496 463077052 926154104 1505000419 3010000838 6020001676 12040003352