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212222022211122 = 237211195593355087
BaseRepresentation
bin110000010000001111001010…
…001111110101011000110010
31000211102020010121200002021020
4300100033022033311120302
5210304021200141223442
62031205241234040310
762462351356101300
oct6020171217653062
91024366117602236
10212222022211122
1161690943a15530
121b976071a19096
1391555b25c8591
143a5985a3a7270
1519805ad99d9ec
hexc103ca3f5632

212222022211122 has 96 divisors (see below), whose sum is σ = 538654278666240. Its totient is φ = 55119768469920.

The previous prime is 212222022211097. The next prime is 212222022211123. The reversal of 212222022211122 is 221112220222212.

It is a happy number.

It is a super-2 number, since 2×2122220222111222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212222022211092 and 212222022211101.

It is not an unprimeable number, because it can be changed into a prime (212222022211123) 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, 61576263 + ... + 64931349.

It is an arithmetic number, because the mean of its divisors is an integer number (5610982069440).

Almost surely, 2212222022211122 is an apocalyptic number.

212222022211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212222022211122 is an abundant number, since it is smaller than the sum of its proper divisors (326432256455118).

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

212222022211122 is a wasteful number, since it uses less digits than its factorization.

212222022211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374676 (or 3374669 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212222022211122 its reverse (221112220222212), we get a palindrome (433334242433334).

It can be divided in two parts, 2122220 and 22211122, that added together give a palindrome (24333342).

The spelling of 212222022211122 in words is "two hundred twelve trillion, two hundred twenty-two billion, twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 19559 39118 58677 117354 136913 215149 273826 410739 430298 645447 821478 958391 1290894 1506043 1916782 2875173 3012086 3355087 4518129 5750346 6710174 9036258 10065261 10542301 20130522 21084602 23485609 31626903 36905957 46971218 63253806 70456827 73811914 110717871 140913654 164399263 221435742 258341699 328798526 493197789 516683398 775025097 986395578 1550050194 1808391893 3616783786 5425175679 10850351358 65622146633 131244293266 196866439899 393732879798 459355026431 721843612963 918710052862 1378065079293 1443687225926 2165530838889 2756130158586 3215485185017 4331061677778 5052905290741 6430970370034 9646455555051 10105810581482 15158715872223 19292911110102 30317431744446 35370337035187 70740674070374 106111011105561 212222022211122