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22122000222112 = 2572137102981157
BaseRepresentation
bin1010000011110101011011…
…11101110000011110100000
32220022211202020020210000201
411001322231331300132200
510344421324024101422
6115014412343154544
74442155534220500
oct501725575603640
986284666223021
1022122000222112
11705998445146a
122593485145a54
13c4613225693b
145669d3969a00
1528569d722727
hex141eadf707a0

22122000222112 has 72 divisors (see below), whose sum is σ = 51033136696164. Its totient is φ = 9411653809152.

The previous prime is 22122000222103. The next prime is 22122000222139. The reversal of 22122000222112 is 21122200022122.

It can be written as a sum of positive squares in 2 ways, for example, as 20635541828496 + 1486458393616 = 4542636^2 + 1219204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22122000222112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51275763 + ... + 51705394.

Almost surely, 222122000222112 is an apocalyptic number.

It is an amenable number.

22122000222112 is an abundant number, since it is smaller than the sum of its proper divisors (28911136474052).

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

22122000222112 is a wasteful number, since it uses less digits than its factorization.

22122000222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102981318 (or 102981303 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22122000222112 its reverse (21122200022122), we get a palindrome (43244200244234).

The spelling of 22122000222112 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 392 548 784 959 1096 1568 1918 2192 3836 4384 6713 7672 13426 15344 26852 30688 53704 107408 214816 102981157 205962314 411924628 720868099 823849256 1441736198 1647698512 2883472396 3295397024 5046076693 5766944792 10092153386 11533889584 14108418509 20184306772 23067779168 28216837018 40368613544 56433674036 80737227088 98758929563 112867348072 161474454176 197517859126 225734696144 395035718252 451469392288 691312506941 790071436504 1382625013882 1580142873008 2765250027764 3160285746016 5530500055528 11061000111056 22122000222112