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20220012220122 = 23311136739082003
BaseRepresentation
bin1001001100011110101101…
…01001010100111011011010
32122121000101102021022021000
410212033112221110323122
510122241041112020442
6111000540111325430
74154563516026651
oct446172651247332
978530342238230
1020220012220122
116496293844430
122326935220876
13b3897b698a80
144dc9220c6198
15250e8018bd4c
hex1263d6a54eda

20220012220122 has 128 divisors (see below), whose sum is σ = 53576737643520. Its totient is φ = 5571530205120.

The previous prime is 20220012220117. The next prime is 20220012220141. The reversal of 20220012220122 is 22102221002202.

20220012220122 is a `hidden beast` number, since 202 + 200 + 122 + 20 + 122 = 666.

It is a super-2 number, since 2×202200122201222 (a number of 27 digits) contains 22 as substring.

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 = 20220012220095 and 20220012220104.

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, 19023628 + ... + 20058375.

It is an arithmetic number, because the mean of its divisors is an integer number (418568262840).

Almost surely, 220220012220122 is an apocalyptic number.

20220012220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20220012220122 is an abundant number, since it is smaller than the sum of its proper divisors (33356725423398).

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

20220012220122 is a wasteful number, since it uses less digits than its factorization.

20220012220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39082105 (or 39082099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220012220122 its reverse (22102221002202), we get a palindrome (42322233222324).

The spelling of 20220012220122 in words is "twenty trillion, two hundred twenty billion, twelve million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 67 78 99 117 134 143 198 201 234 286 297 351 402 429 594 603 702 737 858 871 1206 1287 1474 1742 1809 2211 2574 2613 3618 3861 4422 5226 6633 7722 7839 9581 13266 15678 19162 19899 23517 28743 39798 47034 57486 86229 172458 258687 517374 39082003 78164006 117246009 234492018 351738027 429902033 508066039 703476054 859804066 1016132078 1055214081 1289706099 1524198117 2110428162 2579412198 2618494201 3048396234 3869118297 4572594351 5236988402 5588726429 7738236594 7855482603 9145188702 11177452858 11607354891 13717783053 15710965206 16766179287 23214709782 23566447809 27435566106 28803436211 33532358574 34040424613 47132895618 50298537861 57606872422 68080849226 70699343427 86410308633 100597075722 102121273839 141398686854 150895613583 172820617266 204242547678 259230925899 301791227166 306363821517 374444670743 518461851798 612727643034 748889341486 777692777697 919091464551 1123334012229 1555385555394 1838182929102 2246668024458 3370002036687 6740004073374 10110006110061 20220012220122