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12021101122120 = 235835576500563
BaseRepresentation
bin1010111011101110000101…
…1101100101001001001000
31120120012120012120011121221
42232323201131211021020
53033423203341401440
641322230112211424
72350332043414666
oct256734135451110
946505505504557
1012021101122120
113915136215202
12142192a539b74
1369277b24bb6c
142d7b78215c36
1515ca6a694d4a
hexaeee1765248

12021101122120 has 64 divisors (see below), whose sum is σ = 27422499222720. Its totient is φ = 4741977963264.

The previous prime is 12021101122097. The next prime is 12021101122169. The reversal of 12021101122120 is 2122110112021.

12021101122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12021101122094 and 12021101122103.

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, 1401042 + ... + 5099521.

It is an arithmetic number, because the mean of its divisors is an integer number (428476550355).

Almost surely, 212021101122120 is an apocalyptic number.

12021101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021101122120 is an abundant number, since it is smaller than the sum of its proper divisors (15401398100600).

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

12021101122120 is a wasteful number, since it uses less digits than its factorization.

12021101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501214 (or 6501210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021101122120 its reverse (2122110112021), we get a palindrome (14143211234141).

The spelling of 12021101122120 in words is "twelve trillion, twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 557 664 830 1114 1660 2228 2785 3320 4456 5570 11140 22280 46231 92462 184924 231155 369848 462310 924620 1849240 6500563 13001126 26002252 32502815 52004504 65005630 130011260 260022520 539546729 1079093458 2158186916 2697733645 3620813591 4316373832 5395467290 7241627182 10790934580 14483254364 18104067955 21581869160 28966508728 36208135910 72416271820 144832543640 300527528053 601055056106 1202110112212 1502637640265 2404220224424 3005275280530 6010550561060 12021101122120