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12011210102100 = 22352115368674729
BaseRepresentation
bin1010111011001001001111…
…1010010101010101010100
31120112021000212212021221010
42232302103322111111110
53033242424241231400
641313512421252220
72346531661215636
oct256622372252524
946467025767833
1012011210102100
113910a1aa754a0
12141ba29b64070
13691862cca6b1
142d74ba740a56
1515c68c162450
hexaec93e95554

12011210102100 has 144 divisors (see below), whose sum is σ = 38627063334720. Its totient is φ = 2856868684800.

The previous prime is 12011210102081. The next prime is 12011210102141. The reversal of 12011210102100 is 120101211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34162465 + ... + 34512264.

It is an arithmetic number, because the mean of its divisors is an integer number (268243495380).

Almost surely, 212011210102100 is an apocalyptic number.

12011210102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011210102100 is an abundant number, since it is smaller than the sum of its proper divisors (26615853232620).

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

12011210102100 is a wasteful number, since it uses less digits than its factorization.

12011210102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68674810 (or 68674803 counting only the distinct ones).

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

Adding to 12011210102100 its reverse (120101211021), we get a palindrome (12131311313121).

The spelling of 12011210102100 in words is "twelve trillion, eleven billion, two hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 14575 15900 17490 29150 34980 43725 58300 87450 174900 68674729 137349458 206024187 274698916 343373645 412048374 686747290 755422019 824096748 1030120935 1373494580 1510844038 1716868225 2060241870 2266266057 3021688076 3433736450 3639760637 3777110095 4120483740 4532532114 5150604675 6867472900 7279521274 7554220190 9065064228 10301209350 10919281911 11331330285 14559042548 15108440380 18198803185 18885550475 20602418700 21838563822 22662660570 36397606370 37771100950 40037367007 43677127644 45325321140 54596409555 56656651425 72795212740 75542201900 80074734014 90994015925 109192819110 113313302850 120112101021 160149468028 181988031850 200186835035 218385638220 226626605700 240224202042 272982047775 363976063700 400373670070 480448404084 545964095550 600560505105 800747340140 1000934175175 1091928191100 1201121010210 2001868350350 2402242020420 3002802525525 4003736700700 6005605051050 12011210102100