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12020112102222 = 23271271993774689
BaseRepresentation
bin1010111011101010011010…
…0000110001001101001110
31120120010000021112202101100
42232322212200301031032
53033414142144232342
641321544022123530
72350265404035030
oct256724640611516
946503007482340
1012020112102222
113914778a10994
1214216b32805a6
136926513876a3
142d7ac2b25c50
1515ca0d931e4c
hexaeea683134e

12020112102222 has 96 divisors (see below), whose sum is σ = 30149203968000. Its totient is φ = 3390152984064.

The previous prime is 12020112102221. The next prime is 12020112102241. The reversal of 12020112102222 is 22220121102021.

It is a happy number.

12020112102222 is a `hidden beast` number, since 120 + 201 + 121 + 0 + 2 + 222 = 666.

12020112102222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12020112102195 and 12020112102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020112102221) 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, 1297054 + ... + 5071742.

It is an arithmetic number, because the mean of its divisors is an integer number (314054208000).

Almost surely, 212020112102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020112102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074601984000).

12020112102222 is an abundant number, since it is smaller than the sum of its proper divisors (18129091865778).

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

12020112102222 is a wasteful number, since it uses less digits than its factorization.

12020112102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775030 (or 3775027 counting only the distinct ones).

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

Adding to 12020112102222 its reverse (22220121102021), we get a palindrome (34240233204243).

The spelling of 12020112102222 in words is "twelve trillion, twenty billion, one hundred twelve million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 199 254 381 398 597 762 889 1143 1194 1393 1778 1791 2286 2667 2786 3582 4179 5334 8001 8358 12537 16002 25074 25273 50546 75819 151638 176911 227457 353822 454914 530733 1061466 1592199 3184398 3774689 7549378 11324067 22648134 26422823 33972201 52845646 67944402 79268469 158536938 237805407 475610814 479385503 751163111 958771006 1438156509 1502326222 2253489333 2876313018 3355698521 4314469527 4506978666 5258141777 6711397042 6760467999 8628939054 10067095563 10516283554 13520935998 15774425331 20134191126 30201286689 31548850662 47323275993 60402573378 94646551986 95397715097 190795430194 286193145291 572386290582 667784005679 858579435873 1335568011358 1717158871746 2003352017037 4006704034074 6010056051111 12020112102222