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12033452112 = 24311414711827
BaseRepresentation
bin10110011010011111…
…11110100001010000
31011001122001201000120
423031033332201100
5144121030431422
65310022350240
7604125440523
oct131517764120
934048051016
1012033452112
11511562a750
1223b9b8b380
13119a077b86
14822248bba
154a667c45c
hex2cd3fe850

12033452112 has 160 divisors (see below), whose sum is σ = 35481729024. Its totient is φ = 3481574400.

The previous prime is 12033452107. The next prime is 12033452117. The reversal of 12033452112 is 21125433021.

It is an interprime number because it is at equal distance from previous prime (12033452107) and next prime (12033452117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033452117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011543 + ... + 1023369.

Almost surely, 212033452112 is an apocalyptic number.

12033452112 is a gapful number since it is divisible by the number (12) 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 12033452112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740864512).

12033452112 is an abundant number, since it is smaller than the sum of its proper divisors (23448276912).

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

12033452112 is a wasteful number, since it uses less digits than its factorization.

12033452112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12033452112 its reverse (21125433021), we get a palindrome (33158885133).

The spelling of 12033452112 in words is "twelve billion, thirty-three million, four hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 47 48 66 82 88 94 123 132 141 164 176 188 246 264 282 328 376 451 492 517 528 564 656 752 902 984 1034 1128 1353 1551 1804 1927 1968 2068 2256 2706 3102 3608 3854 4136 5412 5781 6204 7216 7708 8272 10824 11562 11827 12408 15416 21197 21648 23124 23654 24816 30832 35481 42394 46248 47308 63591 70962 84788 92496 94616 127182 130097 141924 169576 189232 254364 260194 283848 339152 390291 484907 508728 520388 555869 567696 780582 969814 1017456 1040776 1111738 1454721 1561164 1667607 1939628 2081552 2223476 2909442 3122328 3335214 3879256 4446952 5333977 5818884 6114559 6244656 6670428 7758512 8893904 10667954 11637768 12229118 13340856 16001931 18343677 21335908 22790629 23275536 24458236 26681712 32003862 36687354 42671816 45581258 48916472 64007724 68371887 73374708 85343632 91162516 97832944 128015448 136743774 146749416 182325032 250696919 256030896 273487548 293498832 364650064 501393838 546975096 752090757 1002787676 1093950192 1504181514 2005575352 3008363028 4011150704 6016726056 12033452112