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20022201112122 = 23211533637524599
BaseRepresentation
bin1001000110101110010000…
…01011110101011000111010
32121220002210121202212002200
410203113020023311120322
510111020431441041442
6110330023333011030
74134361544246166
oct443271013653072
977802717685080
1020022201112122
11641a405606190
1222b452a783a76
13b231159bc281
144d31189cdca6
1524ac53e8d34c
hex1235c82f563a

20022201112122 has 96 divisors (see below), whose sum is σ = 48231480585600. Its totient is φ = 5951207583360.

The previous prime is 20022201112103. The next prime is 20022201112169. The reversal of 20022201112122 is 22121110222002.

It is a happy number.

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 = 20022201112095 and 20022201112104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37904379 + ... + 38428977.

It is an arithmetic number, because the mean of its divisors is an integer number (502411256100).

Almost surely, 220022201112122 is an apocalyptic number.

20022201112122 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 20022201112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115740292800).

20022201112122 is an abundant number, since it is smaller than the sum of its proper divisors (28209279473478).

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

20022201112122 is a wasteful number, since it uses less digits than its factorization.

20022201112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528308 (or 528305 counting only the distinct ones).

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

Adding to 20022201112122 its reverse (22121110222002), we get a palindrome (42143311334124).

The spelling of 20022201112122 in words is "twenty trillion, twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 3637 5247 7274 10494 10911 21822 32733 40007 65466 80014 120021 192761 240042 360063 385522 524599 578283 720126 1049198 1156566 1573797 1734849 2120371 3147594 3469698 4240742 4721391 5770589 6361113 9442782 11541178 12722226 17311767 19083339 27803747 34623534 38166678 51935301 55607494 83411241 103870602 166822482 250233723 305841217 500467446 611682434 917523651 1835047302 1907966563 2752570953 3815933126 5505141906 5723899689 11447799378 17171699067 20987632193 34343398134 41975264386 62962896579 101122227839 125925793158 188888689737 202244455678 303366683517 377777379474 606733367034 910100050551 1112344506229 1820200101102 2224689012458 3337033518687 6674067037374 10011100556061 20022201112122