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12011110221222 = 23271710695245489
BaseRepresentation
bin1010111011001000110111…
…1101010100010110100110
31120112020202220220211010100
42232302031331110112212
53033242223204034342
641313454452404530
72346526336231020
oct256621575242646
946466686824110
1012011110221222
113910979655512
12141ba00616746
136918483c9198
142d74ab381010
1515c6834d2e4c
hexaec8df545a6

12011110221222 has 96 divisors (see below), whose sum is σ = 31520778868800. Its totient is φ = 3226856361984.

The previous prime is 12011110221221. The next prime is 12011110221233. The reversal of 12011110221222 is 22212201111021.

12011110221222 is a `hidden beast` number, since 1 + 201 + 11 + 10 + 221 + 222 = 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 = 12011110221195 and 12011110221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011110221221) 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, 332947 + ... + 4912542.

It is an arithmetic number, because the mean of its divisors is an integer number (328341446550).

Almost surely, 212011110221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011110221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760389434400).

12011110221222 is an abundant number, since it is smaller than the sum of its proper divisors (19509668647578).

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

12011110221222 is a wasteful number, since it uses less digits than its factorization.

12011110221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246590 (or 5246587 counting only the distinct ones).

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

Adding to 12011110221222 its reverse (22212201111021), we get a palindrome (34223311332243).

The spelling of 12011110221222 in words is "twelve trillion, eleven billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1069 1071 2138 2142 3207 6414 7483 9621 14966 18173 19242 22449 36346 44898 54519 67347 109038 127211 134694 163557 254422 327114 381633 763266 1144899 2289798 5245489 10490978 15736467 31472934 36718423 47209401 73436846 89173313 94418802 110155269 178346626 220310538 267519939 330465807 535039878 624213191 660931614 802559817 1248426382 1605119634 1872639573 3745279146 5607427741 5617918719 11214855482 11235837438 16822283223 33644566446 39251994187 50466849669 78503988374 95326271597 100933699338 117755982561 190652543194 235511965122 285978814791 353267947683 571957629582 667283901179 706535895366 857936444373 1334567802358 1715872888746 2001851703537 4003703407074 6005555110611 12011110221222