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212120010122022 = 2353495032486291
BaseRepresentation
bin110000001110110000001001…
…110110100110001100100110
31000211001110211012221000200000
4300032300021312212030212
5210300333240042401042
62031050330513002130
762452110410460642
oct6016601166461446
91024043735830600
10212120010122022
1161651655836082
121b95a342253346
139148aa5c9b092
143a54940021c22
15197cadccb474c
hexc0ec09da6326

212120010122022 has 96 divisors (see below), whose sum is σ = 478931444409600. Its totient is φ = 70363876690080.

The previous prime is 212120010121991. The next prime is 212120010122023. The reversal of 212120010122022 is 220221010021212.

It is a happy number.

212120010122022 is a `hidden beast` number, since 2 + 121 + 200 + 101 + 220 + 22 = 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 = 212120010121986 and 212120010122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120010122023) 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, 84072697 + ... + 86558987.

It is an arithmetic number, because the mean of its divisors is an integer number (4988869212600).

Almost surely, 2212120010122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120010122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239465722204800).

212120010122022 is an abundant number, since it is smaller than the sum of its proper divisors (266811434287578).

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

212120010122022 is a wasteful number, since it uses less digits than its factorization.

212120010122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487160 (or 2487148 counting only the distinct ones).

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

Adding to 212120010122022 its reverse (220221010021212), we get a palindrome (432341020143234).

The spelling of 212120010122022 in words is "two hundred twelve trillion, one hundred twenty billion, ten million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 349 486 503 698 1006 1047 1509 2094 3018 3141 4527 6282 9054 9423 13581 18846 27162 28269 40743 56538 81486 84807 122229 169614 175547 244458 351094 526641 1053282 1579923 2486291 3159846 4739769 4972582 7458873 9479538 14219307 14917746 22376619 28438614 42657921 44753238 67129857 85315842 134259714 201389571 402779142 604168713 867715559 1208337426 1250604373 1735431118 2501208746 2603146677 3751813119 5206293354 7503626238 7809440031 11255439357 15618880062 22510878714 23428320093 33766318071 46856640186 67532636142 70284960279 101298954213 140569920558 202597908426 210854880837 303896862639 421709761674 436460926177 607793725278 872921852354 1309382778531 2618765557062 3928148335593 7856296671186 11784445006779 23568890013558 35353335020337 70706670040674 106060005061011 212120010122022