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11221122121020 = 22325710188174777
BaseRepresentation
bin1010001101001001111011…
…1111110111110100111100
31110201201200021221021201100
42203102132333313310330
52432321324230333040
635510525022013100
72235461603202150
oct243223677676474
943651607837640
1011221122121020
11363693a9a3279
12131288b117190
136351bb745496
142ab168999060
15146d4914eb30
hexa349eff7d3c

11221122121020 has 144 divisors (see below), whose sum is σ = 39285037891008. Its totient is φ = 2539433548800.

The previous prime is 11221122120977. The next prime is 11221122121063. The reversal of 11221122121020 is 2012122112211.

11221122121020 is a `hidden beast` number, since 1 + 1 + 2 + 211 + 221 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11221122120977) and next prime (11221122121063).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11221122120984 and 11221122121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43960129 + ... + 44214648.

It is an arithmetic number, because the mean of its divisors is an integer number (272812763132).

Almost surely, 211221122121020 is an apocalyptic number.

11221122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221122121020 is an abundant number, since it is smaller than the sum of its proper divisors (28063915769988).

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

11221122121020 is a wasteful number, since it uses less digits than its factorization.

11221122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88174900 (or 88174895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221122121020 its reverse (2012122112211), we get a palindrome (13233244233231).

The spelling of 11221122121020 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2828 3030 3535 3636 4242 4545 6060 6363 7070 8484 9090 10605 12726 14140 18180 21210 25452 31815 42420 63630 127260 88174777 176349554 264524331 352699108 440873885 529048662 617223439 793572993 881747770 1058097324 1234446878 1322621655 1587145986 1763495540 1851670317 2468893756 2645243310 3086117195 3174291972 3703340634 3967864965 5290486620 5555010951 6172234390 7406681268 7935729930 8905652477 9258351585 11110021902 12344468780 15871459860 17811304954 18516703170 22220043804 26716957431 27775054755 35622609908 37033406340 44528262385 53433914862 55550109510 62339567339 80150872293 89056524770 106867829724 111100219020 124679134678 133584787155 160301744586 178113049540 187018702017 249358269356 267169574310 311697836695 320603489172 374037404034 400754361465 534339148620 561056106051 623395673390 748074808068 801508722930 935093510085 1122112212102 1246791346780 1603017445860 1870187020170 2244224424204 2805280530255 3740374040340 5610561060510 11221122121020