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11122112001210 = 2357294342471883
BaseRepresentation
bin1010000111011001000110…
…0010001111010010111010
31110101021010002221001210220
42201312101202033102322
52424211041133014320
635353232215320510
72225355206105550
oct241662142172272
943337102831726
1011122112001210
1135a89522a9881
1212b7658980136
13628a7003b982
142a64551adbd0
151444a1c97e40
hexa1d9188f4ba

11122112001210 has 128 divisors (see below), whose sum is σ = 32292222842880. Its totient is φ = 2397452795136.

The previous prime is 11122112001173. The next prime is 11122112001211. The reversal of 11122112001210 is 1210021122111.

It is a happy number.

It is a super-2 number, since 2×111221120012102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122112001210.

It is not an unprimeable number, because it can be changed into a prime (11122112001211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20974072 + ... + 21497811.

It is an arithmetic number, because the mean of its divisors is an integer number (252282990960).

Almost surely, 211122112001210 is an apocalyptic number.

11122112001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11122112001210 is an abundant number, since it is smaller than the sum of its proper divisors (21170110841670).

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

11122112001210 is a wasteful number, since it uses less digits than its factorization.

11122112001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42471972.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122112001210 its reverse (1210021122111), we get a palindrome (12332133123321).

The spelling of 11122112001210 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 43 58 70 86 87 105 129 145 174 203 210 215 258 290 301 406 430 435 602 609 645 870 903 1015 1218 1247 1290 1505 1806 2030 2494 3010 3045 3741 4515 6090 6235 7482 8729 9030 12470 17458 18705 26187 37410 43645 52374 87290 130935 261870 42471883 84943766 127415649 212359415 254831298 297303181 424718830 594606362 637078245 891909543 1231684607 1274156490 1486515905 1783819086 1826290969 2463369214 2973031810 3652581938 3695053821 4459547715 5478872907 6158423035 7390107642 8621792249 8919095430 9131454845 10957745814 12316846070 12784036783 17243584498 18262909690 18475269105 25568073566 25865376747 27394364535 36950538210 38352110349 43108961245 51730753494 52962438101 54788729070 63920183915 76704220698 86217922490 105924876202 127840367830 129326883735 158887314303 191760551745 258653767470 264812190505 317774628606 370737066707 383521103490 529624381010 741474133414 794436571515 1112211200121 1588873143030 1853685333535 2224422400242 3707370667070 5561056000605 11122112001210