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20112220012122 = 2337472725341539
BaseRepresentation
bin1001001001010101111011…
…01110101011111001011010
32122012201011012012210011000
410210222331232223321122
510114004311310341442
6110435232030245430
74144026363260610
oct444527556537132
978181135183130
1020112220012122
1164545a9966107
122309a71956876
13b2b7606cb084
144d761820b6b0
1524d271ceed4c
hex124abdbabe5a

20112220012122 has 128 divisors (see below), whose sum is σ = 52168603852800. Its totient is φ = 5623744085568.

The previous prime is 20112220012121. The next prime is 20112220012127. The reversal of 20112220012122 is 22121002221102.

It is a happy number.

20112220012122 is a `hidden beast` number, since 201 + 122 + 200 + 121 + 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 = 20112220012095 and 20112220012104.

It is not an unprimeable number, because it can be changed into a prime (20112220012121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 484156029 + ... + 484197567.

It is an arithmetic number, because the mean of its divisors is an integer number (407567217600).

Almost surely, 220112220012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112220012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084301926400).

20112220012122 is an abundant number, since it is smaller than the sum of its proper divisors (32056383840678).

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

20112220012122 is a wasteful number, since it uses less digits than its factorization.

20112220012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68857 (or 68851 counting only the distinct ones).

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

Adding to 20112220012122 its reverse (22121002221102), we get a palindrome (42233222233224).

The spelling of 20112220012122 in words is "twenty trillion, one hundred twelve billion, two hundred twenty million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 5922 8883 17766 27253 41539 54506 81759 83078 124617 163518 190771 245277 249234 290773 373851 381542 490554 572313 581546 735831 747702 872319 1121553 1144626 1280891 1471662 1716939 1744638 1952333 2243106 2561782 2616957 3433878 3842673 3904666 5150817 5233914 5856999 7685346 7850871 8966237 10301634 11528019 11713998 13666331 15701742 17570997 17932474 23056038 26898711 27332662 34584057 35141994 40998993 52712991 53797422 69168114 80696133 81997986 105425982 122996979 161392266 242088399 245993958 368990937 484176798 737981874 1132062367 2264124734 3396187101 6792374202 7924436569 10188561303 15848873138 20377122606 23773309707 30565683909 47546619414 53206931249 61131367818 71319929121 106413862498 142639858242 159620793747 213959787363 319241587494 372448518743 427919574726 478862381241 744897037486 957724762482 1117345556229 1436587143723 2234691112458 2873174287446 3352036668687 6704073337374 10056110006061 20112220012122