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12112647945168 = 24311329319733863
BaseRepresentation
bin1011000001000011001000…
…0100111111101111010000
31120212221212021001122001210
42300100302010333233100
53041423200333221133
641432250150300120
72360052464522511
oct260206204775720
946787767048053
1012112647945168
11394aa43a97351
121437619357640
1369b2aa678744
142dc380724a08
15160127719763
hexb043213fbd0

12112647945168 has 160 divisors (see below), whose sum is σ = 31699917575424. Its totient is φ = 3985107460096.

The previous prime is 12112647945157. The next prime is 12112647945199. The reversal of 12112647945168 is 86154974621121.

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, 3135552805 + ... + 3135556667.

Almost surely, 212112647945168 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 12112647945168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849958787712).

12112647945168 is an abundant number, since it is smaller than the sum of its proper divisors (19587269630256).

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

12112647945168 is a wasteful number, since it uses less digits than its factorization.

12112647945168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6247 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 12112647945168 in words is "twelve trillion, one hundred twelve billion, six hundred forty-seven million, nine hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 293 339 452 586 678 879 904 1172 1356 1758 1808 1973 2344 2712 3516 3863 3946 4688 5424 5919 7032 7726 7892 11589 11838 14064 15452 15784 23178 23676 30904 31568 33109 46356 47352 61808 66218 92712 94704 99327 132436 185424 198654 222949 264872 397308 436519 445898 529744 578089 668847 794616 873038 891796 1131859 1156178 1309557 1337694 1589232 1734267 1746076 1783592 2263718 2312356 2619114 2675388 3395577 3468534 3492152 3567184 4527436 4624712 5238228 5350776 6791154 6937068 6984304 7621699 9054872 9249424 10476456 10701552 13582308 13874136 15243398 18109744 20952912 22865097 27164616 27748272 30486796 45730194 54329232 60973592 65324057 91460388 121947184 127900067 130648114 182920776 195972171 255800134 261296228 365841552 383700201 391944342 511600268 522592456 767400402 783888684 861251987 1023200536 1045184912 1534800804 1567777368 1722503974 2046401072 2233157807 2583755961 3069601608 3135554736 3445007948 4466315614 5167511922 6139203216 6699473421 6890015896 8932631228 10335023844 13398946842 13780031792 17865262456 20670047688 26797893684 35730524912 41340095376 53595787368 107191574736 252346832191 504693664382 757040496573 1009387328764 1514080993146 2018774657528 3028161986292 4037549315056 6056323972584 12112647945168