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12000130032 = 24311232334241
BaseRepresentation
bin10110010110100001…
…10111001111110000
31010222022100202201110
423023100313033300
5144034013130112
65302432233320
7603242264562
oct131320671760
933868322643
1012000130032
1150a8840340
1223aa99b840
1311931aba77
1481ba53332
154a379913c
hex2cb4373f0

12000130032 has 160 divisors (see below), whose sum is σ = 35448731136. Its totient is φ = 3462553600.

The previous prime is 12000130007. The next prime is 12000130063. The reversal of 12000130032 is 23003100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2827432 + ... + 2831672.

Almost surely, 212000130032 is an apocalyptic number.

12000130032 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 12000130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17724365568).

12000130032 is an abundant number, since it is smaller than the sum of its proper divisors (23448601104).

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

12000130032 is a wasteful number, since it uses less digits than its factorization.

12000130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12000130032 its reverse (23003100021), we get a palindrome (35003230053).

The spelling of 12000130032 in words is "twelve billion, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 233 253 264 276 368 466 506 528 552 699 759 932 1012 1104 1398 1518 1864 2024 2563 2796 3036 3728 4048 4241 5126 5359 5592 6072 7689 8482 10252 10718 11184 12144 12723 15378 16077 16964 20504 21436 25446 30756 32154 33928 41008 42872 46651 50892 58949 61512 64308 67856 85744 93302 97543 101784 117898 123024 128616 139953 176847 186604 195086 203568 235796 257232 279906 292629 353694 373208 390172 471592 559812 585258 707388 746416 780344 943184 988153 1072973 1119624 1170516 1414776 1560688 1976306 2145946 2239248 2341032 2829552 2964459 3218919 3952612 4291892 4682064 5928918 6437838 7905224 8583784 10869683 11857836 12875676 15810448 17167568 21739366 22727519 23715672 25751352 32609049 43478732 45455038 47431344 51502704 65218098 68182557 86957464 90910076 130436196 136365114 173914928 181820152 250002709 260872392 272730228 363640304 500005418 521744784 545460456 750008127 1000010836 1090920912 1500016254 2000021672 3000032508 4000043344 6000065016 12000130032