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11001122000120 = 235727138978623
BaseRepresentation
bin1010000000010110010111…
…1110000000110011111000
31102221200211002220012010102
42200011211332000303320
52420220244213000440
635221502355534532
72213543026055600
oct240054576006370
942850732805112
1011001122000120
11356160563023a
1212981115ba448
1361a52aa08655
142a065859dc00
1514126ee38b15
hexa0165f80cf8

11001122000120 has 96 divisors (see below), whose sum is σ = 28794522556800. Its totient is φ = 3771712449792.

The previous prime is 11001122000069. The next prime is 11001122000227. The reversal of 11001122000120 is 2100022110011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139883129 + ... + 139961751.

It is an arithmetic number, because the mean of its divisors is an integer number (299942943300).

Almost surely, 211001122000120 is an apocalyptic number.

11001122000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001122000120 is an abundant number, since it is smaller than the sum of its proper divisors (17793400556680).

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

11001122000120 is a wasteful number, since it uses less digits than its factorization.

11001122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150037 (or 150026 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11001122000120 its reverse (2100022110011), we get a palindrome (13101144110131).

The spelling of 11001122000120 in words is "eleven trillion, one billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 71389 78623 142778 157246 285556 314492 356945 393115 499723 550361 571112 628984 713890 786230 999446 1100722 1427780 1572460 1998892 2201444 2498615 2751805 2855560 3144920 3498061 3852527 3997784 4402888 4997230 5503610 6996122 7705054 9994460 11007220 13992244 15410108 17490305 19262635 19988920 22014440 27984488 30820216 34980610 38525270 69961220 77050540 139922440 154101080 5612817347 11225634694 22451269388 28064086735 39289721429 44902538776 56128173470 78579442858 112256346940 157158885716 196448607145 224512693880 275028050003 314317771432 392897214290 550056100006 785794428580 1100112200012 1375140250015 1571588857160 2200224400024 2750280500030 5500561000060 11001122000120