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200212120120122 = 232118773593320899
BaseRepresentation
bin101101100001011110000100…
…010011001010101100111010
3222020220002110220001122020200
4231201132010103022230322
5202220233410222320442
61545452102255503030
760112563656506635
oct5541360423125472
9866802426048220
10200212120120122
115888053531a150
121a556549b27a76
138793bca5ac366
143762465670c1c
151822e9b5b034c
hexb617844cab3a

200212120120122 has 96 divisors (see below), whose sum is σ = 473901582398400. Its totient is φ = 60584104776960.

The previous prime is 200212120120097. The next prime is 200212120120123. The reversal of 200212120120122 is 221021021212002.

It is a happy number.

200212120120122 is a `hidden beast` number, since 200 + 2 + 121 + 201 + 20 + 122 = 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 = 200212120120095 and 200212120120104.

It is not an unprimeable number, because it can be changed into a prime (200212120120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623749629 + ... + 624070527.

It is an arithmetic number, because the mean of its divisors is an integer number (4936474816650).

Almost surely, 2200212120120122 is an apocalyptic number.

200212120120122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200212120120122 is an abundant number, since it is smaller than the sum of its proper divisors (273689462278278).

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

200212120120122 is a wasteful number, since it uses less digits than its factorization.

200212120120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325388 (or 325385 counting only the distinct ones).

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

Adding to 200212120120122 its reverse (221021021212002), we get a palindrome (421233141332124).

The spelling of 200212120120122 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 877 1754 2631 3593 5262 7186 7893 9647 10779 15786 19294 21558 28941 32337 39523 57882 64674 79046 86823 118569 173646 237138 320899 355707 641798 711414 962697 1925394 2888091 3151061 3529889 5776182 6302122 7059778 9453183 10589667 18906366 21179334 28359549 31769001 34661671 56719098 63538002 69323342 103985013 207970026 281428423 311955039 562856846 623910078 844285269 1152990107 1688570538 2305980214 2532855807 3095712653 3458970321 5065711614 6191425306 6917940642 9287137959 10376910963 12682891177 18574275918 20753821926 25365782354 27861413877 38048673531 55722827754 76097347062 114146020593 228292041186 1011172323839 2022344647678 3033516971517 6067033943034 9100550914551 11122895562229 18201101829102 22245791124458 33368686686687 66737373373374 100106060060061 200212120120122