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11055405123120 = 24351311372566679
BaseRepresentation
bin1010000011100000100101…
…1111101100011000110000
31110010212221012011112221110
42200320021133230120300
52422112432202414440
635302441043353320
72220504150023451
oct240701137543060
943125835145843
1011055405123120
113582630a83a66
1212a6740982840
1362269bc38a87
142a3127aa3128
1514289a82c080
hexa0e097ec630

11055405123120 has 160 divisors (see below), whose sum is σ = 34785454302720. Its totient is φ = 2904247490560.

The previous prime is 11055405123101. The next prime is 11055405123233. The reversal of 11055405123120 is 2132150455011.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3023941 + ... + 5590619.

It is an arithmetic number, because the mean of its divisors is an integer number (217409089392).

Almost surely, 211055405123120 is an apocalyptic number.

11055405123120 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 11055405123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392727151360).

11055405123120 is an abundant number, since it is smaller than the sum of its proper divisors (23730049179600).

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

11055405123120 is a wasteful number, since it uses less digits than its factorization.

11055405123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566963 (or 2566957 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 11055405123120 its reverse (2132150455011), we get a palindrome (13187555578131).

The spelling of 11055405123120 in words is "eleven trillion, fifty-five billion, four hundred five million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 137 240 262 274 393 411 524 548 655 685 786 822 1048 1096 1310 1370 1572 1644 1965 2055 2096 2192 2620 2740 3144 3288 3930 4110 5240 5480 6288 6576 7860 8220 10480 10960 15720 16440 17947 31440 32880 35894 53841 71788 89735 107682 143576 179470 215364 269205 287152 358940 430728 538410 717880 861456 1076820 1435760 2153640 2566679 4307280 5133358 7700037 10266716 12833395 15400074 20533432 25666790 30800148 38500185 41066864 51333580 61600296 77000370 102667160 123200592 154000740 205334320 308001480 336234949 351635023 616002960 672469898 703270046 1008704847 1054905069 1344939796 1406540092 1681174745 1758175115 2017409694 2109810138 2689879592 2813080184 3362349490 3516350230 4034819388 4219620276 5043524235 5274525345 5379759184 5626160368 6724698980 7032700460 8069638776 8439240552 10087048470 10549050690 13449397960 14065400920 16139277552 16878481104 20174096940 21098101380 26898795920 28130801840 40348193880 42196202760 46064188013 80696387760 84392405520 92128376026 138192564039 184256752052 230320940065 276385128078 368513504104 460641880130 552770256156 690962820195 737027008208 921283760260 1105540512312 1381925640390 1842567520520 2211081024624 2763851280780 3685135041040 5527702561560 11055405123120