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12122222104044 = 22321324394538669
BaseRepresentation
bin1011000001100110110010…
…1111100000110111101100
31120220212120111112021222200
42300121230233200313230
53042102302324312134
641440512201541500
72360541651525243
oct260315457406754
946825514467880
1012122222104044
113954007396648
12143944b7a4890
1369c175077600
142dca0c0b795a
151604d800c499
hexb066cbe0dec

12122222104044 has 108 divisors (see below), whose sum is σ = 33256287464400. Its totient is φ = 3721417285248.

The previous prime is 12122222104019. The next prime is 12122222104049. The reversal of 12122222104044 is 44040122222121.

12122222104044 is a `hidden beast` number, since 1 + 2 + 1 + 22 + 22 + 210 + 404 + 4 = 666.

It is a super-2 number, since 2×121222221040442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122222103999 and 12122222104017.

It is not an unprimeable number, because it can be changed into a prime (12122222104049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401542 + ... + 4940210.

Almost surely, 212122222104044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122222104044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628143732200).

12122222104044 is an abundant number, since it is smaller than the sum of its proper divisors (21134065360356).

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

12122222104044 is a wasteful number, since it uses less digits than its factorization.

12122222104044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539144 (or 4539126 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12122222104044 its reverse (44040122222121), we get a palindrome (56162344326165).

The spelling of 12122222104044 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 439 468 507 676 878 1014 1317 1521 1756 2028 2634 3042 3951 5268 5707 6084 7902 11414 15804 17121 22828 34242 51363 68484 74191 102726 148382 205452 222573 296764 445146 667719 890292 1335438 2670876 4538669 9077338 13616007 18154676 27232014 40848021 54464028 59002697 81696042 118005394 163392084 177008091 236010788 354016182 531024273 708032364 767035061 1062048546 1534070122 1992475691 2124097092 2301105183 3068140244 3984951382 4602210366 5977427073 6903315549 7969902764 9204420732 11954854146 13806631098 17932281219 23909708292 25902183983 27613262196 35864562438 51804367966 71729124876 77706551949 103608735932 155413103898 233119655847 310826207796 336728391779 466239311694 673456783558 932478623388 1010185175337 1346913567116 2020370350674 3030555526011 4040740701348 6061111052022 12122222104044