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11200120000 = 26541914737
BaseRepresentation
bin10100110111001010…
…00100010011000000
31001220120000001021021
422123211010103000
5140414212320000
65051213235224
7544356310036
oct123345042300
931816001237
1011200120000
1148281a2a23
122206a92b14
131096524454
147836c4556
1545841e11a
hex29b9444c0

11200120000 has 140 divisors (see below), whose sum is σ = 29236360120. Its totient is φ = 4243968000.

The previous prime is 11200119961. The next prime is 11200120051. The reversal of 11200120000 is 2100211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752632 + ... + 767368.

Almost surely, 211200120000 is an apocalyptic number.

11200120000 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 11200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618180060).

11200120000 is an abundant number, since it is smaller than the sum of its proper divisors (18036240120).

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

11200120000 is an equidigital number, since it uses as much as digits as its factorization.

11200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11200120000 its reverse (2100211), we get a palindrome (11202220211).

The spelling of 11200120000 in words is "eleven billion, two hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 14737 15200 19000 20000 23750 29474 30400 38000 40000 47500 58948 73685 76000 95000 117896 147370 152000 190000 235792 280003 294740 368425 380000 471584 560006 589480 736850 760000 943168 1120012 1178960 1400015 1473700 1842125 2240024 2357920 2800030 2947400 3684250 4480048 4715840 5600060 5894800 7000075 7368500 8960096 9210625 11200120 11789600 14000150 14737000 17920192 18421250 22400240 23579200 28000300 29474000 35000375 36842500 44800480 56000600 58948000 70000750 73685000 89600960 112001200 117896000 140001500 147370000 175001875 224002400 280003000 294740000 350003750 448004800 560006000 589480000 700007500 1120012000 1400015000 2240024000 2800030000 5600060000 11200120000