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11212010001120 = 253525693909133
BaseRepresentation
bin1010001100100111111111…
…0111111001001011100000
31110200212011020212122010010
42203021333313321023200
52432144144030013440
635502420513404520
72235020026360005
oct243117767711340
943625136778103
1011212010001120
113632a94392775
121310b67569740
13634398999c66
142aa9427198ac
151469b41c7580
hexa327fdf92e0

11212010001120 has 96 divisors (see below), whose sum is σ = 35319244961952. Its totient is φ = 2989749676032.

The previous prime is 11212010001119. The next prime is 11212010001161. The reversal of 11212010001120 is 2110001021211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11212010001096 and 11212010001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11878074 + ... + 12787206.

It is an arithmetic number, because the mean of its divisors is an integer number (367908801687).

Almost surely, 211212010001120 is an apocalyptic number.

11212010001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212010001120 is an abundant number, since it is smaller than the sum of its proper divisors (24107234960832).

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

11212010001120 is a wasteful number, since it uses less digits than its factorization.

11212010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934844 (or 934836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212010001120 its reverse (2110001021211), we get a palindrome (13322011022331).

The spelling of 11212010001120 in words is "eleven trillion, two hundred twelve billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25693 51386 77079 102772 128465 154158 205544 256930 308316 385395 411088 513860 616632 770790 822176 909133 1027720 1233264 1541580 1818266 2055440 2466528 2727399 3083160 3636532 4110880 4545665 5454798 6166320 7273064 9091330 10909596 12332640 13636995 14546128 18182660 21819192 27273990 29092256 36365320 43638384 54547980 72730640 87276768 109095960 145461280 218191920 436383840 23358354169 46716708338 70075062507 93433416676 116791770845 140150125014 186866833352 233583541690 280300250028 350375312535 373733666704 467167083380 560600500056 700750625070 747467333408 934334166760 1121201000112 1401501250140 1868668333520 2242402000224 2803002500280 3737336667040 5606005000560 11212010001120