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201212211100212 = 2232133527912186871
BaseRepresentation
bin101101110000000001011110…
…010111011111101000110100
3222101102200212221200022221200
4231300001132113133220310
5202333130102020201322
61551535340320212500
760245050110543024
oct5560013627375064
9871380787608850
10201212211100212
115912668a6357a4
121a69833646a130
1388372cb680c70
143798a19bdba84
15183ded0ce88ac
hexb7005e5dfa34

201212211100212 has 72 divisors (see below), whose sum is σ = 547759923459840. Its totient is φ = 61909689579840.

The previous prime is 201212211100177. The next prime is 201212211100217. The reversal of 201212211100212 is 212001112212102.

201212211100212 is a `hidden beast` number, since 2 + 0 + 121 + 221 + 110 + 0 + 212 = 666.

It is a super-4 number, since 4×2012122111002124 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212211100217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10417137 + ... + 22604007.

It is an arithmetic number, because the mean of its divisors is an integer number (7607776714720).

Almost surely, 2201212211100212 is an apocalyptic number.

It is an amenable number.

201212211100212 is an abundant number, since it is smaller than the sum of its proper divisors (346547712359628).

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

201212211100212 is a wasteful number, since it uses less digits than its factorization.

201212211100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222173 (or 12222168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201212211100212 its reverse (212001112212102), we get a palindrome (413213323312314).

The spelling of 201212211100212 in words is "two hundred one trillion, two hundred twelve billion, two hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 35279 70558 105837 141116 211674 317511 423348 458627 635022 917254 1270044 1375881 1834508 2751762 4127643 5503524 8255286 12186871 16510572 24373742 36560613 48747484 73121226 109681839 146242452 158429323 219363678 316858646 438727356 475287969 633717292 950575938 1425863907 1901151876 2851727814 5703455628 429940622009 859881244018 1289821866027 1719762488036 2579643732054 3869465598081 5159287464108 5589228086117 7738931196162 11178456172234 15477862392324 16767684258351 22356912344468 33535368516702 50303052775053 67070737033404 100606105550106 201212211100212