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11221312131120 = 2435713513796343
BaseRepresentation
bin1010001101001010101001…
…0100101101000000110000
31110201202011112110210120110
42203102222110231000300
52432322221401143440
635510555530341320
72235466401231360
oct243225224550060
943652145423513
1011221312131120
113636a28182713
12131292288a840
1363521bc126b0
142ab185cda9a0
15146d5ab84080
hexa34aa52d030

11221312131120 has 160 divisors (see below), whose sum is σ = 42813621752832. Its totient is φ = 2367573543936.

The previous prime is 11221312131109. The next prime is 11221312131131. The reversal of 11221312131120 is 2113121312211.

It is an interprime number because it is at equal distance from previous prime (11221312131109) and next prime (11221312131131).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 256876332 + ... + 256920011.

Almost surely, 211221312131120 is an apocalyptic number.

11221312131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221312131120 is an abundant number, since it is smaller than the sum of its proper divisors (31592309621712).

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

11221312131120 is a wasteful number, since it uses less digits than its factorization.

11221312131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513796379 (or 513796373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11221312131120 its reverse (2113121312211), we get a palindrome (13334433443331).

The spelling of 11221312131120 in words is "eleven trillion, two hundred twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 513796343 1027592686 1541389029 2055185372 2568981715 3082778058 3596574401 4110370744 5137963430 6165556116 6679352459 7193148802 7706945145 8220741488 10275926860 10789723203 12331112232 13358704918 14386297604 15413890290 17982872005 20038057377 20551853720 21579446406 24662224464 26717409836 28772595208 30827780580 33396762295 35965744010 40076114754 41103707440 43158892812 46755467213 53434819672 53948616015 57545190416 61655561160 66793524590 71931488020 80152229508 86317785624 93510934426 100190286885 106869639344 107897232030 123311122320 133587049180 140266401639 143862976040 160304459016 172635571248 187021868852 200380573770 215794464060 233777336065 267174098360 280532803278 287725952080 320608918032 374043737704 400761147540 431588928120 467554672130 534348196720 561065606556 701332008195 748087475408 801522295080 863177856240 935109344260 1122131213112 1402664016390 1603044590160 1870218688520 2244262426224 2805328032780 3740437377040 5610656065560 11221312131120