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12102112121120 = 255710805457251
BaseRepresentation
bin1011000000011011111000…
…0110000001000100100000
31120211221200000001022112022
42300012332012001010200
53041240111200333440
641423344503121012
72356230422510360
oct260067606010440
946757600038468
1012102112121120
11394652787784a
121435578a43168
1369a2bb972328
142dba613629a0
1515ec0c7b8cb5
hexb01be181120

12102112121120 has 48 divisors (see below), whose sum is σ = 32675702730048. Its totient is φ = 4149295584000.

The previous prime is 12102112121111. The next prime is 12102112121123. The reversal of 12102112121120 is 2112121120121.

It is a super-2 number, since 2×121021121211202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102112121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5402727506 + ... + 5402729745.

It is an arithmetic number, because the mean of its divisors is an integer number (680743806876).

Almost surely, 212102112121120 is an apocalyptic number.

12102112121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102112121120 is an abundant number, since it is smaller than the sum of its proper divisors (20573590608928).

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

12102112121120 is a wasteful number, since it uses less digits than its factorization.

12102112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805457273 (or 10805457265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12102112121120 its reverse (2112121120121), we get a palindrome (14214233241241).

The spelling of 12102112121120 in words is "twelve trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10805457251 21610914502 43221829004 54027286255 75638200757 86443658008 108054572510 151276401514 172887316016 216109145020 302552803028 345774632032 378191003785 432218290040 605105606056 756382007570 864436580080 1210211212112 1512764015140 1728873160160 2420422424224 3025528030280 6051056060560 12102112121120