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11122222121000 = 2353181386315907
BaseRepresentation
bin1010000111011001100000…
…0110010100000000101000
31110101021101210010201202122
42201312120012110000220
52424211302330333000
635353251151450412
72225361014106524
oct241663006240050
943337353121678
1011122222121000
1135a89a9482471
1212b7689826a08
13628a89ab6703
142a6465a76d84
151444ab79b085
hexa1d98194028

11122222121000 has 128 divisors (see below), whose sum is σ = 26178209890560. Its totient is φ = 4422885984000.

The previous prime is 11122222120991. The next prime is 11122222121057. The reversal of 11122222121000 is 12122222111.

It is a self number, because there is not a number n which added to its sum of digits gives 11122222121000.

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, 699195047 + ... + 699210953.

It is an arithmetic number, because the mean of its divisors is an integer number (204517264770).

Almost surely, 211122222121000 is an apocalyptic number.

11122222121000 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 11122222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089104945280).

11122222121000 is an abundant number, since it is smaller than the sum of its proper divisors (15055987769560).

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

11122222121000 is a wasteful number, since it uses less digits than its factorization.

11122222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19972 (or 19958 counting only the distinct ones).

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

Adding to 11122222121000 its reverse (12122222111), we get a palindrome (11134344343111).

The spelling of 11122222121000 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 3863 4525 7240 7726 9050 15452 15907 18100 19315 22625 30904 31814 36200 38630 45250 63628 77260 79535 90500 96575 127256 154520 159070 181000 193150 318140 386300 397675 482875 636280 699203 772600 795350 965750 1398406 1590700 1931500 1988375 2796812 2879167 3181400 3496015 3863000 3976750 5593624 5758334 6992030 7953500 11516668 13984060 14395835 15907000 17480075 23033336 27968120 28791670 34960150 57583340 61448741 69920300 71979175 87400375 115166680 122897482 139840600 143958350 174800750 245794964 287916700 307243705 349601500 359895875 491589928 575833400 614487410 699203000 719791750 1228974820 1439583500 1536218525 2457949640 2879167000 3072437050 6144874100 7681092625 11122222121 12289748200 15362185250 22244444242 30724370500 44488888484 55611110605 61448741000 88977776968 111222221210 222444442420 278055553025 444888884840 556111106050 1112222212100 1390277765125 2224444424200 2780555530250 5561111060500 11122222121000