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11120111210120 = 23511859182316139
BaseRepresentation
bin1010000111010001101001…
…0001110100111010001000
31110101001221200002100102012
42201310122101310322020
52424142441432210440
635352301503355052
72225254502500433
oct241643221647210
943331850070365
1011120111210120
1135a8015971920
1212b719a8b2a88
13628811678513
142a630558a81a
151443d62cae65
hexa1d1a474e88

11120111210120 has 128 divisors (see below), whose sum is σ = 27343277568000. Its totient is φ = 4036503694080.

The previous prime is 11120111210107. The next prime is 11120111210123. The reversal of 11120111210120 is 2101211102111.

It is a junction number, because it is equal to n+sod(n) for n = 11120111210095 and 11120111210104.

It is not an unprimeable number, because it can be changed into a prime (11120111210123) by changing a digit.

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, 689013011 + ... + 689029149.

It is an arithmetic number, because the mean of its divisors is an integer number (213619356000).

Almost surely, 211120111210120 is an apocalyptic number.

11120111210120 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 11120111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671638784000).

11120111210120 is an abundant number, since it is smaller than the sum of its proper divisors (16223166357880).

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

11120111210120 is a wasteful number, since it uses less digits than its factorization.

11120111210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18843 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11120111210120 its reverse (2101211102111), we get a palindrome (13221322312231).

The spelling of 11120111210120 in words is "eleven trillion, one hundred twenty billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 859 1718 1823 3436 3646 4295 6872 7292 8590 9115 9449 14584 16139 17180 18230 18898 20053 32278 34360 36460 37796 40106 47245 64556 72920 75592 80212 80695 94490 100265 129112 160424 161390 177529 188980 200530 322780 355058 377960 401060 645560 710116 802120 887645 1420232 1565957 1775290 3131914 3550580 6263828 7101160 7829785 12527656 13863401 15659570 17225527 27726802 29421397 31319140 34451054 55453604 58842794 62638280 68902108 69317005 86127635 110907208 117685588 137804216 138634010 147106985 152497411 172255270 235371176 277268020 294213970 304994822 323635367 344510540 554536040 588427940 609989644 647270734 689021080 762487055 1176855880 1219979288 1294541468 1524974110 1618176835 2589082936 3049948220 3236353670 6099896440 6472707340 12945414680 25272980023 50545960046 101091920092 126364900115 202183840184 252729800230 278002780253 505459600460 556005560506 1010919200920 1112011121012 1390013901265 2224022242024 2780027802530 5560055605060 11120111210120