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12012100121010 = 23511892691520417
BaseRepresentation
bin1010111011001100100011…
…1101011111000110110010
31120112100022220120221100110
42232303020331133012302
53033301240112333020
641314141013402150
72346563016234153
oct256631075370662
946470286527313
1012012100121010
1139113373aa910
121420038039356
1369197550acc2
142d7562a1d92a
1515c6e036b8e0
hexaecc8f5f1b2

12012100121010 has 128 divisors (see below), whose sum is σ = 31921479993600. Its totient is φ = 2868599275520.

The previous prime is 12012100121009. The next prime is 12012100121069. The reversal of 12012100121010 is 1012100121021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7140322 + ... + 8660738.

It is an arithmetic number, because the mean of its divisors is an integer number (249386562450).

Almost surely, 212012100121010 is an apocalyptic number.

12012100121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012100121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960739996800).

12012100121010 is an abundant number, since it is smaller than the sum of its proper divisors (19909379872590).

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

12012100121010 is a wasteful number, since it uses less digits than its factorization.

12012100121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520796.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012100121010 its reverse (1012100121021), we get a palindrome (13024200242031).

The spelling of 12012100121010 in words is "twelve trillion, twelve billion, one hundred million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 269 330 445 534 538 807 890 979 1335 1345 1614 1958 2670 2690 2937 2959 4035 4895 5874 5918 8070 8877 9790 14685 14795 17754 23941 29370 29590 44385 47882 71823 88770 119705 143646 239410 263351 359115 526702 718230 790053 1316755 1520417 1580106 2633510 3040834 3950265 4561251 7602085 7900530 9122502 15204170 16724587 22806255 33449174 45612510 50173761 83622935 100347522 135317113 167245870 250868805 270634226 405951339 408992173 501737610 676585565 811902678 817984346 1226976519 1353171130 1488488243 2029756695 2044960865 2453953038 2976976486 4059513390 4089921730 4465464729 4498913903 6134882595 7442441215 8930929458 8997827806 12269765190 13496741709 14884882430 22327323645 22494569515 26993483418 36400303397 44654647290 44989139030 67483708545 72800606794 109200910191 134967417090 182001516985 218401820382 364003033970 400403337367 546004550955 800806674734 1092009101910 1201210012101 2002016686835 2402420024202 4004033373670 6006050060505 12012100121010