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12021120120 = 2335100176001
BaseRepresentation
bin10110011001000001…
…11011110001111000
31011000202212011201010
423030200323301320
5144104401320440
65304502153520
7603615556302
oct131440736170
934022764633
1012021120120
115109677519
1223b5a228a0
13119764aa39
14820758972
154a5543580
hex2cc83bc78

12021120120 has 32 divisors (see below), whose sum is σ = 36063360720. Its totient is φ = 3205632000.

The previous prime is 12021120113. The next prime is 12021120149. The reversal of 12021120120 is 2102112021.

12021120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12021120096 and 12021120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50087881 + ... + 50088120.

Almost surely, 212021120120 is an apocalyptic number.

12021120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021120120 is an abundant number, since it is smaller than the sum of its proper divisors (24042240600).

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

12021120120 is a wasteful number, since it uses less digits than its factorization.

12021120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100176015 (or 100176011 counting only the distinct ones).

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

Adding to 12021120120 its reverse (2102112021), we get a palindrome (14123232141).

The spelling of 12021120120 in words is "twelve billion, twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 100176001 200352002 300528003 400704004 500880005 601056006 801408008 1001760010 1202112012 1502640015 2003520020 2404224024 3005280030 4007040040 6010560060 12021120120