Search a number
-
+
12210022011222 = 2327215191679221
BaseRepresentation
bin1011000110101101111000…
…0001100101000101010110
31121020021012102112201010200
42301223132001211011112
53100022111113324342
641545112350401330
72400100504445100
oct261533601450526
947207172481120
1012210022011222
113988272124402
121452473800246
136a7528134bc9
14302d7ab12570
1516292614e94c
hexb1ade065156

12210022011222 has 72 divisors (see below), whose sum is σ = 30978042396912. Its totient is φ = 3465474516000.

The previous prime is 12210022011193. The next prime is 12210022011233. The reversal of 12210022011222 is 22211022001221.

It is a happy number.

12210022011222 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 220 + 11 + 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 = 12210022011195 and 12210022011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45706429 + ... + 45972792.

It is an arithmetic number, because the mean of its divisors is an integer number (430250588846).

Almost surely, 212210022011222 is an apocalyptic number.

12210022011222 is an abundant number, since it is smaller than the sum of its proper divisors (18768020385690).

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

12210022011222 is a wasteful number, since it uses less digits than its factorization.

12210022011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91679394 (or 91679384 counting only the distinct ones).

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

Adding to 12210022011222 its reverse (22211022001221), we get a palindrome (34421044012443).

The spelling of 12210022011222 in words is "twelve trillion, two hundred ten billion, twenty-two million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 151 294 302 441 453 882 906 1057 1359 2114 2718 3171 6342 7399 9513 14798 19026 22197 44394 66591 133182 91679221 183358442 275037663 550075326 641754547 825112989 1283509094 1650225978 1925263641 3850527282 4492281829 5775790923 8984563658 11551581846 13476845487 13843562371 26953690974 27687124742 40430536461 41530687113 80861072922 83061374226 96904936597 124592061339 193809873194 249184122678 290714809791 581429619582 678334556179 872144429373 1356669112358 1744288858746 2035003668537 4070007337074 6105011005611 12210022011222