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12112000320312 = 2334312392522791
BaseRepresentation
bin1011000001000000101101…
…1110100000001100111000
31120212220012010102212210000
42300100023132200030320
53041420334040222222
641432102013353000
72360030442020424
oct260201336401470
946786163385700
1012112000320312
11394a7414701a2
121437478498760
1369b206446879
142dc31c701b84
151600da9409ac
hexb040b7a0338

12112000320312 has 160 divisors (see below), whose sum is σ = 35165702246400. Its totient is φ = 3890747649600.

The previous prime is 12112000320229. The next prime is 12112000320331. The reversal of 12112000320312 is 21302300021121.

12112000320312 is a `hidden beast` number, since 1 + 2 + 11 + 20 + 0 + 0 + 320 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3539637 + ... + 6062427.

It is an arithmetic number, because the mean of its divisors is an integer number (219785639040).

Almost surely, 212112000320312 is an apocalyptic number.

12112000320312 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 12112000320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582851123200).

12112000320312 is an abundant number, since it is smaller than the sum of its proper divisors (23053701926088).

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

12112000320312 is a wasteful number, since it uses less digits than its factorization.

12112000320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523079 (or 2523066 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112000320312 its reverse (21302300021121), we get a palindrome (33414300341433).

The spelling of 12112000320312 in words is "twelve trillion, one hundred twelve billion, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 239 248 279 324 372 478 558 648 717 744 837 956 1116 1434 1674 1912 2151 2232 2511 2868 3348 4302 5022 5736 6453 6696 7409 8604 10044 12906 14818 17208 19359 20088 22227 25812 29636 38718 44454 51624 59272 66681 77436 88908 133362 154872 177816 200043 266724 400086 533448 600129 800172 1200258 1600344 2400516 2522791 4801032 5045582 7568373 10091164 15136746 20182328 22705119 30273492 45410238 60546984 68115357 78206521 90820476 136230714 156413042 181640952 204346071 234619563 272461428 312826084 408692142 469239126 544922856 602947049 625652168 703858689 817384284 938478252 1205894098 1407717378 1634768568 1808841147 1876956504 2111576067 2411788196 2815434756 3617682294 4223152134 4823576392 5426523441 5630869512 6334728201 7235364588 8446304268 10853046882 12669456402 14470729176 16279570323 16892608536 18691358519 21706093764 25338912804 32559140646 37382717038 43412187528 48838710969 50677825608 56074075557 65118281292 74765434076 97677421938 112148151114 130236562584 149530868152 168222226671 195354843876 224296302228 336444453342 390709687752 448592604456 504666680013 672888906684 1009333360026 1345777813368 1514000040039 2018666720052 3028000080078 4037333440104 6056000160156 12112000320312