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12021101120 = 265722372399
BaseRepresentation
bin10110011001000001…
…10111001001000000
31011000202211012122102
423030200313021000
5144104400213440
65304501525532
7603615450020
oct131440671100
934022735572
1012021101120
115109664216
1223b5a138a8
1311976421b2
14820751a80
154a553cb15
hex2cc837240

12021101120 has 112 divisors (see below), whose sum is σ = 32742835200. Its totient is φ = 4117960704.

The previous prime is 12021101101. The next prime is 12021101153. The reversal of 12021101120 is 2110112021.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 5009681 + ... + 5012079.

Almost surely, 212021101120 is an apocalyptic number.

12021101120 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 12021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371417600).

12021101120 is an abundant number, since it is smaller than the sum of its proper divisors (20721734080).

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

12021101120 is a wasteful number, since it uses less digits than its factorization.

12021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12021101120 its reverse (2110112021), we get a palindrome (14131213141).

The spelling of 12021101120 in words is "twelve billion, twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2237 2240 2399 4474 4798 8948 9596 11185 11995 15659 16793 17896 19192 22370 23990 31318 33586 35792 38384 44740 47980 62636 67172 71584 76768 78295 83965 89480 95960 125272 134344 143168 153536 156590 167930 178960 191920 250544 268688 313180 335860 357920 383840 501088 537376 626360 671720 715840 767680 1002176 1074752 1252720 1343440 2505440 2686880 5010880 5366563 5373760 10733126 21466252 26832815 37565941 42932504 53665630 75131882 85865008 107331260 150263764 171730016 187829705 214662520 300527528 343460032 375659410 429325040 601055056 751318820 858650080 1202110112 1502637640 1717300160 2404220224 3005275280 6010550560 12021101120