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12033000112 = 2471745713829
BaseRepresentation
bin10110011010011100…
…10000001010110000
31011001121012201222211
423031032100022300
5144120422000422
65310004541504
7604121545660
oct131516201260
934047181884
1012033000112
1151153510a1
1223b99b1894
131199c4a213
1482216c1a0
154a65dd577
hex2cd3902b0

12033000112 has 80 divisors (see below), whose sum is σ = 28275600960. Its totient is φ = 4842676224.

The previous prime is 12033000079. The next prime is 12033000149. The reversal of 12033000112 is 21100033021.

It is a junction number, because it is equal to n+sod(n) for n = 12033000092 and 12033000101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863214 + ... + 877042.

It is an arithmetic number, because the mean of its divisors is an integer number (353445012).

Almost surely, 212033000112 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 12033000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137800480).

12033000112 is an abundant number, since it is smaller than the sum of its proper divisors (16242600848).

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

12033000112 is a wasteful number, since it uses less digits than its factorization.

12033000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14318 (or 14312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12033000112 its reverse (21100033021), we get a palindrome (33133033133).

The spelling of 12033000112 in words is "twelve billion, thirty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 457 476 914 952 1828 1904 3199 3656 6398 7312 7769 12796 13829 15538 25592 27658 31076 51184 54383 55316 62152 96803 108766 110632 124304 193606 217532 221264 235093 387212 435064 470186 774424 870128 940372 1548848 1645651 1880744 3291302 3761488 6319853 6582604 12639706 13165208 25279412 26330416 44238971 50558824 88477942 101117648 107437501 176955884 214875002 353911768 429750004 707823536 752062507 859500008 1504125014 1719000016 3008250028 6016500056 12033000112