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11120012111120 = 2451123727755719
BaseRepresentation
bin1010000111010001010001…
…0111110010110100010000
31110101001200202121121010212
42201310110113302310100
52424142241100023440
635352244003343252
72225252160250163
oct241642427626420
943331622547125
1011120012111120
1135a7a74a36320
1212b7171681b28
136287c6c8bb63
142a62d6351ada
151443cc753465
hexa1d145f2d10

11120012111120 has 160 divisors (see below), whose sum is σ = 29471193722880. Its totient is φ = 3862504926720.

The previous prime is 11120012111107. The next prime is 11120012111141. The reversal of 11120012111120 is 2111121002111.

It is a junction number, because it is equal to n+sod(n) for n = 11120012111095 and 11120012111104.

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 31 ways as a sum of consecutive naturals, for example, 14336621 + ... + 15092339.

It is an arithmetic number, because the mean of its divisors is an integer number (184194960768).

Almost surely, 211120012111120 is an apocalyptic number.

11120012111120 is a gapful number since it is divisible by the number (10) 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 11120012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735596861440).

11120012111120 is an abundant number, since it is smaller than the sum of its proper divisors (18351181611760).

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

11120012111120 is a wasteful number, since it uses less digits than its factorization.

11120012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756493 (or 756487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11120012111120 its reverse (2111121002111), we get a palindrome (13231133113231).

The spelling of 11120012111120 in words is "eleven trillion, one hundred twenty billion, twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 727 880 920 1012 1265 1454 1840 2024 2530 2908 3635 4048 5060 5816 7270 7997 10120 11632 14540 15994 16721 20240 29080 31988 33442 39985 58160 63976 66884 79970 83605 127952 133768 159940 167210 183931 267536 319880 334420 367862 639760 668840 735724 755719 919655 1337680 1471448 1511438 1839310 2942896 3022876 3678620 3778595 6045752 7357240 7557190 8312909 12091504 14714480 15114380 16625818 17381537 30228760 33251636 34763074 41564545 60457520 66503272 69526148 83129090 86907685 133006544 139052296 166258180 173815370 191196907 278104592 332516360 347630740 382393814 549407713 665032720 695261480 764787628 955984535 1098815426 1390522960 1529575256 1911969070 2197630852 2747038565 3059150512 3823938140 4395261704 5494077130 6043484843 7647876280 8790523408 10988154260 12086969686 12636377399 15295752560 21976308520 24173939372 25272754798 30217424215 43952617040 48347878744 50545509596 60434848430 63181886995 96695757488 101091019192 120869696860 126363773990 139000151389 202182038384 241739393720 252727547980 278000302778 483478787440 505455095960 556000605556 695000756945 1010910191920 1112001211112 1390001513890 2224002422224 2780003027780 5560006055560 11120012111120