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11021200120120 = 2353179257437771
BaseRepresentation
bin1010000001100001001010…
…1101111101100100111000
31110000121122101102100212111
42200120102231331210320
52421032404212320440
635235022555422104
72215153420215601
oct240302255754470
943017571370774
1011021200120120
11356a079166a43
12129bb95754934
1361c3aa635a28
142a1600dbcda8
15141a479864ea
hexa0612b7d938

11021200120120 has 128 divisors (see below), whose sum is σ = 26022568550400. Its totient is φ = 4195867852800.

The previous prime is 11021200120031. The next prime is 11021200120193. The reversal of 11021200120120 is 2102100212011.

It is a self number, because there is not a number n which added to its sum of digits gives 11021200120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24956835 + ... + 25394605.

It is an arithmetic number, because the mean of its divisors is an integer number (203301316800).

Almost surely, 211021200120120 is an apocalyptic number.

11021200120120 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 11021200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011284275200).

11021200120120 is an abundant number, since it is smaller than the sum of its proper divisors (15001368430280).

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

11021200120120 is a wasteful number, since it uses less digits than its factorization.

11021200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438149 (or 438145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11021200120120 its reverse (2102100212011), we get a palindrome (13123300332131).

The spelling of 11021200120120 in words is "eleven trillion, twenty-one billion, two hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 257 310 316 395 514 620 632 790 1028 1240 1285 1580 2056 2449 2570 3160 4898 5140 7967 9796 10280 12245 15934 19592 20303 24490 31868 39835 40606 48980 63736 79670 81212 97960 101515 159340 162424 203030 318680 406060 437771 629393 812120 875542 1258786 1751084 2188855 2517572 3146965 3502168 4377710 5035144 6293930 8755420 12587860 13570901 17510840 25175720 27141802 34583909 54283604 67854505 69167818 108567208 112507147 135709010 138335636 172919545 225014294 271418020 276671272 345839090 450028588 542836040 562535735 691678180 900057176 1072101179 1125071470 1383356360 2144202358 2250142940 3487721557 4288404716 4500285880 5360505895 6975443114 8576809432 8888064613 10721011790 13950886228 17438607785 17776129226 21442023580 27901772456 34877215570 35552258452 42884047160 44440323065 69754431140 71104516904 88880646130 139508862280 177761292260 275530003003 355522584520 551060006006 1102120012012 1377650015015 2204240024024 2755300030030 5510600060060 11021200120120