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11201221122 = 23713233724107
BaseRepresentation
bin10100110111010010…
…10001001000000010
31001220122001222201120
422123221101020002
5140420003033442
65051253013110
7544401544230
oct123351211002
931818058646
1011201221122
114828885243
122207324196
13109681b6c0
147838cd950
1545858a4ec
hex29ba51202

11201221122 has 128 divisors (see below), whose sum is σ = 29549850624. Its totient is φ = 2749241088.

The previous prime is 11201221081. The next prime is 11201221133. The reversal of 11201221122 is 22112210211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452593 + ... + 476699.

It is an arithmetic number, because the mean of its divisors is an integer number (230858208).

Almost surely, 211201221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774925312).

11201221122 is an abundant number, since it is smaller than the sum of its proper divisors (18348629502).

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

11201221122 is a wasteful number, since it uses less digits than its factorization.

11201221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24192.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11201221122 its reverse (22112210211), we get a palindrome (33313431333).

The spelling of 11201221122 in words is "eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1443 1554 1702 1794 2093 2553 2886 3367 4186 5106 5957 6279 6734 10101 11063 11914 12558 17871 20202 22126 24107 33189 35742 48214 66378 72321 77441 144642 154882 168749 232323 313391 337498 464646 506247 554461 626782 891959 940173 1012494 1108922 1663383 1783918 1880346 2193737 2675877 3326766 3881227 4387474 5351754 6243713 6581211 7207993 7762454 11595467 11643681 12487426 13162422 14415986 18731139 20515057 21623979 23190934 23287362 34786401 37462278 41030114 43247958 50455951 61545171 69572802 81168269 100911902 123090342 143605399 151367853 162336538 243504807 266695741 287210798 302735706 430816197 487009614 533391482 800087223 861632394 1600174446 1866870187 3733740374 5600610561 11201221122