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12101222311020 = 22325372769165617
BaseRepresentation
bin1011000000011000100100…
…0011101010010001101100
31120211212100222201021112200
42300012021003222101230
53041231300402423040
641423120315301500
72356166366322003
oct260061103522154
946755328637480
1012101222311020
1139461105752a7
12143536aa4a890
1369a1a9505a8b
142db9b90d9c3a
1515eba9601630
hexb01890ea46c

12101222311020 has 144 divisors (see below), whose sum is σ = 37701059174688. Its totient is φ = 3139615365120.

The previous prime is 12101222311001. The next prime is 12101222311067. The reversal of 12101222311020 is 2011322210121.

12101222311020 is a `hidden beast` number, since 1 + 210 + 122 + 2 + 311 + 0 + 20 = 666.

It is a super-2 number, since 2×121012223110202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12101222310984 and 12101222311002.

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, 184389252 + ... + 184454868.

Almost surely, 212101222311020 is an apocalyptic number.

12101222311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101222311020 is an abundant number, since it is smaller than the sum of its proper divisors (25599836863668).

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

12101222311020 is a wasteful number, since it uses less digits than its factorization.

12101222311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93360 (or 93355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101222311020 its reverse (2011322210121), we get a palindrome (14112544521141).

The spelling of 12101222311020 in words is "twelve trillion, one hundred one billion, two hundred twenty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 27691 55382 65617 83073 110764 131234 138455 166146 196851 249219 262468 276910 328085 332292 393702 415365 498438 553820 590553 656170 787404 830730 984255 996876 1024567 1181106 1246095 1312340 1661460 1968510 2049134 2362212 2427829 2492190 2952765 3073701 3937020 4098268 4855658 4984380 5122835 5905530 6147402 7283487 9221103 9711316 10245670 11811060 12139145 12294804 14566974 15368505 18442206 20491340 21850461 24278290 29133948 30737010 36417435 36884412 43700922 46105515 48556580 61474020 72834870 87401844 92211030 109252305 145669740 184422060 218504610 437009220 1817000347 3634000694 5451001041 7268001388 9085001735 10902002082 16353003123 18170003470 21804004164 27255005205 32706006246 36340006940 54510010410 65412012492 67229012839 81765015615 109020020820 134458025678 163530031230 201687038517 268916051356 327060062460 336145064195 403374077034 605061115551 672290128390 806748154068 1008435192585 1210122231102 1344580256780 2016870385170 2420244462204 3025305577755 4033740770340 6050611155510 12101222311020