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12012112112200 = 2352419067161563
BaseRepresentation
bin1010111011001100100110…
…1011001110101001001000
31120112100100202011011011121
42232303021223032221020
53033301301200042300
641314142122405024
72346563223165664
oct256631153165110
946470322134147
1012012112112200
11391134314aa92
121420040060774
13691977b48c95
142d75644618a4
1515c6e143981a
hexaecc9acea48

12012112112200 has 96 divisors (see below), whose sum is σ = 28612667734560. Its totient is φ = 4687107494400.

The previous prime is 12012112112171. The next prime is 12012112112213. The reversal of 12012112112200 is 221121121021.

12012112112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74268619 + ... + 74430181.

It is an arithmetic number, because the mean of its divisors is an integer number (298048622235).

Almost surely, 212012112112200 is an apocalyptic number.

12012112112200 is a gapful number since it is divisible by the number (10) 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 12012112112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306333867280).

12012112112200 is an abundant number, since it is smaller than the sum of its proper divisors (16600555622360).

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

12012112112200 is a wasteful number, since it uses less digits than its factorization.

12012112112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170687 (or 170678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12012112112200 its reverse (221121121021), we get a palindrome (12233233233221).

The spelling of 12012112112200 in words is "twelve trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 9067 18134 36268 45335 72536 90670 161563 181340 226675 323126 362680 371747 453350 646252 743494 807815 906700 1292504 1486988 1615630 1813400 1858735 2973976 3231260 3717470 4039075 6462520 6624083 7434940 8078150 9293675 13248166 14869880 16156300 18587350 26496332 32312600 33120415 37174700 52992664 66240830 74349400 132481660 165602075 264963320 331204150 662408300 1324816600 1464891721 2929783442 5859566884 7324458605 11719133768 14648917210 29297834420 36622293025 58595668840 60060560561 73244586050 120121121122 146489172100 240242242244 292978344200 300302802805 480484484488 600605605610 1201211211220 1501514014025 2402422422440 3003028028050 6006056056100 12012112112200