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1211222100222 = 234295310148163
BaseRepresentation
bin10001101000000010011…
…101101000100011111110
311021210101011001212110000
4101220002131220203332
5124321040324201342
62324232221055130
7153336132660261
oct21500235504376
94253334055400
101211222100222
11427749332092
121768ab9b74a6
138a2aa5369b4
14428a2ad0cd8
152178eeec44c
hex11a027688fe

1211222100222 has 160 divisors (see below), whose sum is σ = 2888978827680. Its totient is φ = 378668908800.

The previous prime is 1211222100211. The next prime is 1211222100239. The reversal of 1211222100222 is 2220012221121.

It is a happy number.

1211222100222 is a `hidden beast` number, since 1 + 211 + 22 + 210 + 0 + 222 = 666.

It is a super-2 number, since 2×12112221002222 (a number of 25 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 = 1211222100195 and 1211222100204.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 25124313 + ... + 25172475.

It is an arithmetic number, because the mean of its divisors is an integer number (18056117673).

Almost surely, 21211222100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211222100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444489413840).

1211222100222 is an abundant number, since it is smaller than the sum of its proper divisors (1677756727458).

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

1211222100222 is a wasteful number, since it uses less digits than its factorization.

1211222100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48360 (or 48351 counting only the distinct ones).

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

Adding to 1211222100222 its reverse (2220012221121), we get a palindrome (3431234321343).

The spelling of 1211222100222 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 81 87 101 106 159 162 174 202 261 303 318 477 522 606 783 909 954 1431 1537 1566 1818 2349 2727 2862 2929 3074 4293 4611 4698 5353 5454 5858 8181 8586 8787 9222 10706 13833 16059 16362 17574 26361 27666 32118 41499 48163 48177 52722 79083 82998 96326 96354 124497 144489 144531 155237 158166 237249 248994 288978 289062 310474 433467 433593 465711 474498 866934 867186 931422 1300401 1396727 1397133 2552639 2600802 2793454 2794266 3901203 4190181 4191399 4864463 5105278 7657917 7802406 8380362 8382798 9728926 12570543 12574197 14593389 15315834 22973751 25141086 25148394 29186778 37711629 43780167 45947502 68921253 74026531 75423258 87560334 113134887 131340501 137842506 141069427 148053062 206763759 222079593 226269774 257816539 262681002 282138854 394021503 413527518 423208281 444159186 515633078 666238779 773449617 788043006 846416562 1269624843 1332477558 1546899234 1998716337 2320348851 2539249686 3808874529 3997432674 4640697702 5996149011 6961046553 7476679631 7617749058 11426623587 11992298022 13922093106 14953359262 20883139659 22430038893 22853247174 41766279318 44860077786 67290116679 134580233358 201870350037 403740700074 605611050111 1211222100222