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11220121020000 = 25354187002017
BaseRepresentation
bin1010001101000110001101…
…0100111110011001100000
31110201122002112012002021210
42203101203110332121200
52432312301440120000
635510241420550120
72235425026034244
oct243214324763140
943648075162253
1011220121020000
113636476898262
12131264b9b2340
1363508c211109
142ab0b1a42424
15146cdb302350
hexa346353e660

11220121020000 has 120 divisors (see below), whose sum is σ = 36804241166616. Its totient is φ = 2992032256000.

The previous prime is 11220121019993. The next prime is 11220121020007. The reversal of 11220121020000 is 2012102211.

It is an interprime number because it is at equal distance from previous prime (11220121019993) and next prime (11220121020007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112201210200002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220121020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93441009 + ... + 93561008.

Almost surely, 211220121020000 is an apocalyptic number.

11220121020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220121020000 is an abundant number, since it is smaller than the sum of its proper divisors (25584120146616).

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

11220121020000 is an equidigital number, since it uses as much as digits as its factorization.

11220121020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187002050 (or 187002027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220121020000 its reverse (2012102211), we get a palindrome (11222133122211).

The spelling of 11220121020000 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 187002017 374004034 561006051 748008068 935010085 1122012102 1496016136 1870020170 2244024204 2805030255 2992032272 3740040340 4488048408 4675050425 5610060510 5984064544 7480080680 8976096816 9350100850 11220121020 14025151275 14960161360 17952193632 18700201700 22440242040 23375252125 28050302550 29920322720 37400403400 44880484080 46750504250 56100605100 70125756375 74800806800 89760968160 93501008500 112201210200 116876260625 140251512750 149601613600 187002017000 224402420400 233752521250 280503025500 350628781875 374004034000 448804840800 467505042500 561006051000 701257563750 748008068000 935010085000 1122012102000 1402515127500 1870020170000 2244024204000 2805030255000 3740040340000 5610060510000 11220121020000