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2022122112112 = 2417313746713879
BaseRepresentation
bin11101011011001111110…
…111101100010001110000
321011022110011111120202201
4131123033313230101300
5231112301230041422
64144541114352544
7266044033232524
oct35331767542160
97138404446681
102022122112112
1170a639241073
12287a9872b754
131188ba79c73b
146dc2a939d84
15379001cc727
hex1d6cfdec470

2022122112112 has 160 divisors (see below), whose sum is σ = 4407609323520. Its totient is φ = 894018539520.

The previous prime is 2022122112091. The next prime is 2022122112119. The reversal of 2022122112112 is 2112112212202.

It is a self number, because there is not a number n which added to its sum of digits gives 2022122112112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022122112119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145689589 + ... + 145703467.

It is an arithmetic number, because the mean of its divisors is an integer number (27547558272).

Almost surely, 22022122112112 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 2022122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203804661760).

2022122112112 is an abundant number, since it is smaller than the sum of its proper divisors (2385487211408).

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

2022122112112 is a wasteful number, since it uses less digits than its factorization.

2022122112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14439 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2022122112112 its reverse (2112112212202), we get a palindrome (4134234324314).

The spelling of 2022122112112 in words is "two trillion, twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 37 62 68 74 124 136 148 248 272 296 467 496 527 592 629 934 1054 1147 1258 1868 2108 2294 2516 3736 4216 4588 5032 7472 7939 8432 9176 10064 13879 14477 15878 17279 18352 19499 27758 28954 31756 34558 38998 55516 57908 63512 69116 77996 111032 115816 127024 138232 155992 222064 231632 235943 246109 276464 293743 311984 430249 471886 492218 513523 535649 587486 860498 943772 984436 1027046 1071298 1174972 1720996 1887544 1968872 2054092 2142596 2349944 3441992 3775088 3937744 4108184 4285192 4699888 6481493 6883984 7314233 8216368 8570384 8729891 9106033 12962986 14628466 15919213 17459782 18212066 25925972 29256932 31838426 34919564 36424132 51851944 58513864 63676852 69839128 72848264 103703888 110185381 117027728 127353704 139678256 145696528 200926283 220370762 239815241 254707408 270626621 401852566 440741524 479630482 541253242 803705132 881483048 959260964 1082506484 1607410264 1762966096 1918521928 2165012968 3214820528 3415746811 3837043856 4076859097 4330025936 6831493622 7434272471 8153718194 13662987244 14868544942 16307436388 27325974488 29737089884 32614872776 54651948976 59474179768 65229745552 118948359536 126382632007 252765264014 505530528028 1011061056056 2022122112112