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12101211010020 = 22351123378691709
BaseRepresentation
bin1011000000011000100001…
…1000100011001111100100
31120211212100012110010111010
42300012020120203033210
53041231240004310040
641423115233142220
72356166201263326
oct260061030431744
946755305403433
1012101211010020
113946105156730
1214353670ba970
1369a1a7079cb2
142db9b77d7616
1515eba861ce80
hexb01886233e4

12101211010020 has 96 divisors (see below), whose sum is σ = 37122342042240. Its totient is φ = 2921036200960.

The previous prime is 12101211009977. The next prime is 12101211010043. The reversal of 12101211010020 is 2001011210121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101211009978 and 12101211010005.

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 31 ways as a sum of consecutive naturals, for example, 39192075 + ... + 39499634.

It is an arithmetic number, because the mean of its divisors is an integer number (386691062940).

Almost surely, 212101211010020 is an apocalyptic number.

12101211010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101211010020 is an abundant number, since it is smaller than the sum of its proper divisors (25021131032220).

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

12101211010020 is a wasteful number, since it uses less digits than its factorization.

12101211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78691965 (or 78691963 counting only the distinct ones).

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

Adding to 12101211010020 its reverse (2001011210121), we get a palindrome (14102222220141).

The spelling of 12101211010020 in words is "twelve trillion, one hundred one billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 330 466 660 699 932 1165 1398 2330 2563 2796 3495 4660 5126 6990 7689 10252 12815 13980 15378 25630 30756 38445 51260 76890 153780 78691709 157383418 236075127 314766836 393458545 472150254 786917090 865608799 944300508 1180375635 1573834180 1731217598 2360751270 2596826397 3462435196 4328043995 4721502540 5193652794 8656087990 10387305588 12984131985 17312175980 18335168197 25968263970 36670336394 51936527940 55005504591 73340672788 91675840985 110011009182 183351681970 201686850167 220022018364 275027522955 366703363940 403373700334 550055045910 605060550501 806747400668 1008434250835 1100110091820 1210121101002 2016868501670 2420242202004 3025302752505 4033737003340 6050605505010 12101211010020