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12101222211012 = 22321183909140499
BaseRepresentation
bin1011000000011000100100…
…0011010001110111000100
31120211212100222112012100200
42300012021003101313010
53041231300341223022
641423120313210500
72356166365424304
oct260061103216704
946755328465320
1012101222211012
113946110507150
12143536aa00a30
1369a1a949c3bc
142db9b90b1604
1515eba95d1bac
hexb01890d1dc4

12101222211012 has 144 divisors (see below), whose sum is σ = 33776634528000. Its totient is φ = 3622367908800.

The previous prime is 12101222210927. The next prime is 12101222211031. The reversal of 12101222211012 is 21011222210121.

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

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 47 ways as a sum of consecutive naturals, for example, 298782739 + ... + 298823237.

It is an arithmetic number, because the mean of its divisors is an integer number (234559962000).

Almost surely, 212101222211012 is an apocalyptic number.

12101222211012 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 12101222211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888317264000).

12101222211012 is an abundant number, since it is smaller than the sum of its proper divisors (21675412316988).

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

12101222211012 is a wasteful number, since it uses less digits than its factorization.

12101222211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49694 (or 49689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101222211012 its reverse (21011222210121), we get a palindrome (33112444421133).

The spelling of 12101222211012 in words is "twelve trillion, one hundred one billion, two hundred twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 9091 10956 16434 18182 27273 32868 36364 40499 54546 80998 81819 100001 109092 121497 161996 163638 200002 242994 300003 327276 364491 400004 445489 485988 600006 728982 754553 890978 900009 1200012 1336467 1457964 1509106 1781956 1800018 2263659 2672934 3018212 3361417 3600036 4009401 4527318 5345868 6722834 6790977 8018802 8300083 9054636 10084251 13445668 13581954 16037604 16600166 20168502 24900249 27163908 30252753 33200332 36975587 40337004 49800498 60505506 73951174 74700747 99600996 110926761 121011012 147902348 149401494 221853522 298802988 332780283 368176409 443707044 665560566 736352818 1104529227 1331121132 1472705636 2209058454 3313587681 4049940499 4418116908 6627175362 8099880998 12149821497 13254350724 16199761996 24299642994 30558641947 36449464491 48599285988 61117283894 72898928982 91675925841 122234567788 145797857964 183351851682 275027777523 336145061417 366703703364 550055555046 672290122834 1008435184251 1100111110092 1344580245668 2016870368502 3025305552753 4033740737004 6050611105506 12101222211012