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11120121022120 = 235111911931114969
BaseRepresentation
bin1010000111010001101011…
…0111010000011010101000
31110101001222100112211221121
42201310122313100122220
52424143001440201440
635352302453545024
72225254652055025
oct241643267203250
943331870484847
1011120121022120
1135a8020463810
1212b71a2045174
13628813702636
142a63069c254c
151443d70b834a
hexa1d1add06a8

11120121022120 has 128 divisors (see below), whose sum is σ = 28755522288000. Its totient is φ = 3827640545280.

The previous prime is 11120121022111. The next prime is 11120121022183. The reversal of 11120121022120 is 2122012102111.

It is a junction number, because it is equal to n+sod(n) for n = 11120121022094 and 11120121022103.

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, 9415996 + ... + 10530964.

It is an arithmetic number, because the mean of its divisors is an integer number (224652517875).

Almost surely, 211120121022120 is an apocalyptic number.

11120121022120 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 11120121022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377761144000).

11120121022120 is an abundant number, since it is smaller than the sum of its proper divisors (17635401265880).

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

11120121022120 is a wasteful number, since it uses less digits than its factorization.

11120121022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116203 (or 1116199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11120121022120 its reverse (2122012102111), we get a palindrome (13242133124231).

The spelling of 11120121022120 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1193 1672 2090 2386 4180 4772 5965 8360 9544 11930 13123 22667 23860 26246 45334 47720 52492 65615 90668 104984 113335 131230 181336 226670 249337 262460 453340 498674 524920 906680 997348 1114969 1246685 1994696 2229938 2493370 4459876 4986740 5574845 8919752 9973480 11149690 12264659 21184411 22299380 24529318 42368822 44598760 49058636 61323295 84737644 98117272 105922055 122646590 169475288 211844110 233028521 245293180 423688220 466057042 490586360 847376440 932114084 1165142605 1330158017 1864228168 2330285210 2660316034 4660570420 5320632068 6650790085 9321140840 10641264136 13301580170 14631738187 25273002323 26603160340 29263476374 50546004646 53206320680 58526952748 73158690935 101092009292 117053905496 126365011615 146317381870 202184018584 252730023230 278003025553 292634763740 505460046460 556006051106 585269527480 1010920092920 1112012102212 1390015127765 2224024204424 2780030255530 5560060511060 11120121022120