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11222120001222 = 232131012099226217
BaseRepresentation
bin1010001101001101101001…
…1110011110111011000110
31110201211020211121212000100
42203103122132132323012
52432330400210014342
635511212030024530
72235525411063654
oct243233236367306
943654224555010
1011222120001222
1136373021a9459
121312b09348146
1363531a3bc840
142ab221313dd4
15146da6a62e4c
hexa34da79eec6

11222120001222 has 96 divisors (see below), whose sum is σ = 26456918997600. Its totient is φ = 3417128409600.

The previous prime is 11222120001179. The next prime is 11222120001227. The reversal of 11222120001222 is 22210002122211.

It is a happy number.

It is a super-2 number, since 2×112221200012222 (a number of 27 digits) contains 22 as substring.

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 = 11222120001195 and 11222120001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222120001227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49494658 + ... + 49720874.

It is an arithmetic number, because the mean of its divisors is an integer number (275592906225).

Almost surely, 211222120001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222120001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228459498800).

11222120001222 is an abundant number, since it is smaller than the sum of its proper divisors (15234798996378).

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

11222120001222 is a wasteful number, since it uses less digits than its factorization.

11222120001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228438 (or 228435 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11222120001222 its reverse (22210002122211), we get a palindrome (33432122123433).

The spelling of 11222120001222 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2099 2626 3939 4198 6297 7878 11817 12594 18891 23634 27287 37782 54574 81861 163722 211999 226217 245583 423998 452434 491166 635997 678651 1271994 1357302 1907991 2035953 2755987 2940821 3815982 4071906 5511974 5881642 8267961 8822463 16535922 17644926 22847917 24803883 26467389 45695834 49607766 52934778 68543751 137087502 205631253 297022921 411262506 474829483 594045842 891068763 949658966 1424488449 1782137526 2673206289 2848976898 4273465347 5346412578 6172783279 8546930694 12345566558 18518349837 37036699674 47957777783 55555049511 95915555566 111110099022 143873333349 287746666698 431620000047 623451111179 863240000094 1246902222358 1870353333537 3740706667074 5611060000611 11222120001222