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12003441672 = 23319471972843
BaseRepresentation
bin10110010110111010…
…11111110000001000
31010222112121000102210
423023131133300020
5144040340113142
65303031225120
7603312366525
oct131335376010
933875530383
1012003441672
1150aa6a2432
1223abb181a0
131193a9b211
1481c27614c
154a3c0049c
hex2cb75fc08

12003441672 has 128 divisors (see below), whose sum is σ = 32435251200. Its totient is φ = 3689779968.

The previous prime is 12003441623. The next prime is 12003441773. The reversal of 12003441672 is 27614430021.

It is a super-2 number, since 2×120034416722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4220683 + ... + 4223525.

It is an arithmetic number, because the mean of its divisors is an integer number (253400400).

Almost surely, 212003441672 is an apocalyptic number.

12003441672 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 12003441672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217625600).

12003441672 is an abundant number, since it is smaller than the sum of its proper divisors (20431809528).

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

12003441672 is a wasteful number, since it uses less digits than its factorization.

12003441672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 12003441672 its reverse (27614430021), we get a palindrome (39617871693).

The spelling of 12003441672 in words is "twelve billion, three million, four hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 197 228 282 376 394 456 564 591 788 893 1128 1182 1576 1786 2364 2679 2843 3572 3743 4728 5358 5686 7144 7486 8529 9259 10716 11229 11372 14972 17058 18518 21432 22458 22744 27777 29944 34116 37036 44916 54017 55554 68232 74072 89832 108034 111108 133621 162051 175921 216068 222216 267242 324102 351842 400863 432136 527763 534484 560071 648204 703684 801726 1055526 1068968 1120142 1296408 1407368 1603452 1680213 2111052 2240284 2538799 3206904 3360426 4222104 4480568 5077598 6720852 7616397 10155196 10641349 13441704 15232794 20310392 21282698 26323337 30465588 31924047 42565396 52646674 60931176 63848094 78970011 85130792 105293348 127696188 157940022 210586696 255392376 315880044 500143403 631760088 1000286806 1500430209 2000573612 3000860418 4001147224 6001720836 12003441672