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2012122112022 = 2331131713677817
BaseRepresentation
bin11101010001111011110…
…100101110000000010110
321010100122020201221112000
4131101323310232000112
5230431311230041042
64140204531540130
7265241155520361
oct35217364560026
97110566657460
102012122112022
11706377526a90
12285b6775a646
13117985ab2219
146d55c7b70d8
153751731e74c
hex1d47bd2e016

2012122112022 has 128 divisors (see below), whose sum is σ = 4897465390080. Its totient is φ = 607288193280.

The previous prime is 2012122111981. The next prime is 2012122112041. The reversal of 2012122112022 is 2202112212102.

It is a happy number.

2012122112022 is a `hidden beast` number, since 201 + 212 + 211 + 20 + 22 = 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 = 2012122111986 and 2012122112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257399458 + ... + 257407274.

It is an arithmetic number, because the mean of its divisors is an integer number (38261448360).

Almost surely, 22012122112022 is an apocalyptic number.

2012122112022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448732695040).

2012122112022 is an abundant number, since it is smaller than the sum of its proper divisors (2885343278058).

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

2012122112022 is a wasteful number, since it uses less digits than its factorization.

2012122112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9517 counting only the distinct ones).

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

Adding to 2012122112022 its reverse (2202112212102), we get a palindrome (4214234324124).

The spelling of 2012122112022 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 317 594 634 951 1367 1902 2734 2853 3487 4101 5706 6974 7817 8202 8559 10461 12303 15037 15634 17118 20922 23451 24606 30074 31383 36909 45111 46902 62766 70353 73818 85987 90222 94149 135333 140706 171974 188298 211059 257961 270666 405999 422118 433339 515922 773883 811998 866678 1300017 1547766 2321649 2477989 2600034 3900051 4643298 4766729 4955978 7433967 7800102 9533458 10685839 11700153 14300187 14867934 21371678 22301901 23400306 27257879 28600374 32057517 42900561 44603802 54515758 64115034 66905703 81773637 85801122 96172551 117544229 128701683 133811406 163547274 192345102 235088458 245320911 257403366 288517653 352632687 490641822 577035306 705265374 735962733 1057898061 1471925466 2115796122 3173694183 3387410963 6347388366 6774821926 10162232889 20324465778 30486698667 37261520593 60973397334 74523041186 91460096001 111784561779 182920192002 223569123558 335353685337 670707370674 1006061056011 2012122112022