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12122200021122 = 2321368149225609
BaseRepresentation
bin1011000001100110101101…
…1011010001100010000010
31120220212111221222100220200
42300121223123101202002
53042102231201133442
641440510052350030
72360541263032452
oct260315333214202
946825457870820
1012122200021122
113953aa59833a4
121439444315316
1369c1706150a9
142dca091a9d62
151604d60e934c
hexb066b6d1882

12122200021122 has 24 divisors (see below), whose sum is σ = 26266687044780. Its totient is φ = 4040437904640.

The previous prime is 12122200021103. The next prime is 12122200021147. The reversal of 12122200021122 is 22112000222121.

It is a happy number.

12122200021122 is a `hidden beast` number, since 1 + 212 + 220 + 0 + 0 + 211 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12010736853801 + 111463167321 = 3465651^2 + 333861^2 .

It is a super-2 number, since 2×121222000211222 (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 = 12122200021095 and 12122200021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24366547 + ... + 24859062.

Almost surely, 212122200021122 is an apocalyptic number.

12122200021122 is an abundant number, since it is smaller than the sum of its proper divisors (14144487023658).

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

12122200021122 is a wasteful number, since it uses less digits than its factorization.

12122200021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49239298 (or 49239295 counting only the distinct ones).

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

Adding to 12122200021122 its reverse (22112000222121), we get a palindrome (34234200243243).

The spelling of 12122200021122 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 13681 27362 41043 82086 123129 246258 49225609 98451218 147676827 295353654 443030481 886060962 673455556729 1346911113458 2020366670187 4040733340374 6061100010561 12122200021122