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12220121200122 = 2331147437714779
BaseRepresentation
bin1011000111010011011111…
…1110111011010111111010
31121021020021020221122212000
42301310313332323113322
53100203302011400442
641553502435201430
72400605665233363
oct261646776732772
947236236848760
1012220121200122
113991584926510
121454411a46276
136a8477540924
143036580d4b6a
15162d17aa1d4c
hexb1d37fbb5fa

12220121200122 has 64 divisors (see below), whose sum is σ = 30254845593600. Its totient is φ = 3624278361840.

The previous prime is 12220121200087. The next prime is 12220121200181. The reversal of 12220121200122 is 22100212102221.

It is a happy number.

12220121200122 is a `hidden beast` number, since 1 + 2 + 220 + 121 + 200 + 122 = 666.

It is a super-2 number, since 2×122201212001222 (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 = 12220121200095 and 12220121200104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218829472 + ... + 218885307.

It is an arithmetic number, because the mean of its divisors is an integer number (472731962400).

Almost surely, 212220121200122 is an apocalyptic number.

12220121200122 is an abundant number, since it is smaller than the sum of its proper divisors (18034724393478).

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

12220121200122 is a wasteful number, since it uses less digits than its factorization.

12220121200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437714848 (or 437714842 counting only the distinct ones).

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

Adding to 12220121200122 its reverse (22100212102221), we get a palindrome (34320333302343).

The spelling of 12220121200122 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 27918 437714779 875429558 1313144337 2626288674 3939433011 4814862569 7878866022 9629725138 11818299033 14444587707 20572594613 23636598066 28889175414 41145189226 43333763121 61717783839 86667526242 123435567678 130001289363 185153351517 226298540743 260002578726 370306703034 452597081486 555460054551 678895622229 1110920109102 1357791244458 2036686866687 4073373733374 6110060600061 12220121200122