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2212201222112 = 257591371221811
BaseRepresentation
bin100000001100010001011…
…101111100111111100000
321211111002002212211122202
4200030101131330333200
5242221042003101422
64412134325352332
7315553260063140
oct40142135747740
97744062784582
102212201222112
11783209a10822
122b88a58686a8
131307c060c6ab
14790dd1ac920
153c8276bdb92
hex2031177cfe0

2212201222112 has 96 divisors (see below), whose sum is σ = 5098768093440. Its totient is φ = 925213178880.

The previous prime is 2212201222093. The next prime is 2212201222117. The reversal of 2212201222112 is 2112221022122.

It is a super-2 number, since 2×22122012221122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212201222117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199687 + ... + 2421497.

It is an arithmetic number, because the mean of its divisors is an integer number (53112167640).

Almost surely, 22212201222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549384046720).

2212201222112 is an abundant number, since it is smaller than the sum of its proper divisors (2886566871328).

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

2212201222112 is a wasteful number, since it uses less digits than its factorization.

2212201222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222024 (or 1222016 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2212201222112 its reverse (2112221022122), we get a palindrome (4324422244234).

The spelling of 2212201222112 in words is "two trillion, two hundred twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 137 224 236 274 413 472 548 826 944 959 1096 1652 1888 1918 2192 3304 3836 4384 6608 7672 8083 13216 15344 16166 30688 32332 56581 64664 113162 129328 226324 258656 452648 905296 1221811 1810592 2443622 4887244 8552677 9774488 17105354 19548976 34210708 39097952 68421416 72086849 136842832 144173698 167388107 273685664 288347396 334776214 504607943 576694792 669552428 1009215886 1153389584 1171716749 1339104856 2018431772 2306779168 2343433498 2678209712 4036863544 4686866996 5356419424 8073727088 9373733992 9875898313 16147454176 18747467984 19751796626 37494935968 39503593252 69131288191 79007186504 138262576382 158014373008 276525152764 316028746016 553050305528 1106100611056 2212201222112