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11211201220122 = 23231233359240197
BaseRepresentation
bin1010001100100100111110…
…1010101000111000011010
31110200210001220000022011100
42203021033222220320122
52432141020003020442
635502204342412230
72234661006011631
oct243111752507032
943623056008140
1011211201220122
1136327098a4622
121310980731076
1363429a261317
142aa8a7146518
151469681b884c
hexa324faa8e1a

11211201220122 has 96 divisors (see below), whose sum is σ = 25252380840960. Its totient is φ = 3590949415680.

The previous prime is 11211201220099. The next prime is 11211201220123. The reversal of 11211201220122 is 22102210211211.

11211201220122 is a `hidden beast` number, since 1 + 121 + 1 + 201 + 220 + 122 = 666.

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 = 11211201220095 and 11211201220104.

It is not an unprimeable number, because it can be changed into a prime (11211201220123) 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, 46554928 + ... + 46795124.

It is an arithmetic number, because the mean of its divisors is an integer number (263045633760).

Almost surely, 211211201220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211201220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626190420480).

11211201220122 is an abundant number, since it is smaller than the sum of its proper divisors (14041179620838).

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

11211201220122 is a wasteful number, since it uses less digits than its factorization.

11211201220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240828 (or 240825 counting only the distinct ones).

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

Adding to 11211201220122 its reverse (22102210211211), we get a palindrome (33313411431333).

The spelling of 11211201220122 in words is "eleven trillion, two hundred eleven billion, two hundred one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 233 279 359 466 558 699 718 1077 1398 2097 2154 3231 4194 6462 7223 11129 14446 21669 22258 33387 43338 65007 66774 83647 100161 130014 167294 200322 240197 250941 480394 501882 720591 752823 1441182 1505646 2161773 2593057 4323546 5186114 7446107 7779171 14892214 15558342 22338321 23337513 44676642 46675026 55965901 67014963 86230723 111931802 134029926 167897703 172461446 258692169 335795406 503693109 517384338 776076507 1007386218 1552153014 1734942931 2673152413 3469885862 5204828793 5346304826 8019457239 10409657586 15614486379 16038914478 20091758459 24058371717 31228972758 40183516918 48116743434 60275275377 120550550754 180825826131 361651652262 622844512229 1245689024458 1868533536687 3737067073374 5605600610061 11211201220122