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11122122122120 = 2354318152336827
BaseRepresentation
bin1010000111011001001000…
…1000110110001110001000
31110101021010210222021002102
42201312102020312032020
52424211101230401440
635353233220252532
72225355361120562
oct241662210661610
943337123867072
1011122122122120
1135a8957a91869
1212b7660241148
13628a72173589
142a6456686332
151444a2ae6b15
hexa1d92236388

11122122122120 has 128 divisors (see below), whose sum is σ = 25756912621440. Its totient is φ = 4319920926720.

The previous prime is 11122122122071. The next prime is 11122122122147. The reversal of 11122122122120 is 2122122122111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11122122122092 and 11122122122101.

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, 1629134147 + ... + 1629140973.

It is an arithmetic number, because the mean of its divisors is an integer number (201225879855).

Almost surely, 211122122122120 is an apocalyptic number.

11122122122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878456310720).

11122122122120 is an abundant number, since it is smaller than the sum of its proper divisors (14634790499320).

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

11122122122120 is a wasteful number, since it uses less digits than its factorization.

11122122122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11122122122120 its reverse (2122122122111), we get a palindrome (13244244244231).

Subtracting from 11122122122120 its reverse (2122122122111), we obtain a palindrome (9000000000009).

The spelling of 11122122122120 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 181 215 344 362 430 724 860 905 1448 1720 1810 3620 5233 6827 7240 7783 10466 13654 15566 20932 26165 27308 31132 34135 38915 41864 52330 54616 62264 68270 77830 104660 136540 155660 209320 225019 273080 293561 311320 450038 587122 900076 947173 1125095 1174244 1235687 1467805 1800152 1894346 2250190 2348488 2471374 2935610 3788692 4500380 4735865 4942748 5871220 6178435 7577384 9000760 9471730 9885496 11742440 12356870 18943460 24713740 35725691 37886920 40728439 49427480 53134541 71451382 81456878 106269082 142902764 162913756 178628455 203642195 212538164 265672705 285805528 325827512 357256910 407284390 425076328 531345410 714513820 814568780 1062690820 1429027640 1536204713 1629137560 2125381640 3072409426 6144818852 6466350071 7681023565 12289637704 12932700142 15362047130 25865400284 30724094260 32331750355 51730800568 61448188520 64663500710 129327001420 258654002840 278053053053 556106106106 1112212212212 1390265265265 2224424424424 2780530530530 5561061061060 11122122122120