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11122120012220 = 22571717092734441
BaseRepresentation
bin1010000111011001001000…
…0000110011000110111100
31110101021010200000001211222
42201312102000303012330
52424211100210342340
635353233103132512
72225355334152350
oct241662200630674
943337120001758
1011122120012220
1135a8956880648
1212b765b5a4138
13628a718b5109
142a6456297460
151444a282b8b5
hexa1d920331bc

11122120012220 has 96 divisors (see below), whose sum is σ = 28279817919360. Its totient is φ = 3586885263360.

The previous prime is 11122120012187. The next prime is 11122120012261. The reversal of 11122120012220 is 2221002122111.

It is a super-2 number, since 2×111221200122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 31 ways as a sum of consecutive naturals, for example, 2700200 + ... + 5434640.

It is an arithmetic number, because the mean of its divisors is an integer number (294581436660).

Almost surely, 211122120012220 is an apocalyptic number.

11122120012220 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 11122120012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139908959680).

11122120012220 is an abundant number, since it is smaller than the sum of its proper divisors (17157697907140).

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

11122120012220 is a wasteful number, since it uses less digits than its factorization.

11122120012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736183 (or 2736181 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11122120012220 its reverse (2221002122111), we get a palindrome (13343122134331).

The spelling of 11122120012220 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1709 2380 3418 6836 8545 11963 17090 23926 29053 34180 47852 58106 59815 116212 119630 145265 203371 239260 290530 406742 581060 813484 1016855 2033710 2734441 4067420 5468882 10937764 13672205 19141087 27344410 38282174 46485497 54688820 76564348 92970994 95705435 185941988 191410870 232427485 325398479 382821740 464854970 650796958 929709940 1301593916 1626992395 3253984790 4673159669 6507969580 9346319338 18692638676 23365798345 32712117683 46731596690 65424235366 79443714373 93463193380 130848470732 158887428746 163560588415 317774857492 327121176830 397218571865 556106000611 654242353660 794437143730 1112212001222 1588874287460 2224424002444 2780530003055 5561060006110 11122120012220