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12120332112 = 2432712024139
BaseRepresentation
bin10110100100110110…
…11001011101010000
31011021200112122222100
423102123121131100
5144310301111422
65322404440400
7606232060140
oct132233313520
934250478870
1012120332112
11515a67a9a9
1224230a9100
1311b2076965
1482d9c2920
154ae0de7ac
hex2d26d9750

12120332112 has 60 divisors (see below), whose sum is σ = 38765827360. Its totient is φ = 3462951744.

The previous prime is 12120332099. The next prime is 12120332153. The reversal of 12120332112 is 21123302121.

12120332112 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 (18).

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 11 ways as a sum of consecutive naturals, for example, 6011062 + ... + 6013077.

Almost surely, 212120332112 is an apocalyptic number.

12120332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120332112 is an abundant number, since it is smaller than the sum of its proper divisors (26645495248).

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

12120332112 is a wasteful number, since it uses less digits than its factorization.

12120332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024160 (or 12024151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12120332112 its reverse (21123302121), we get a palindrome (33243634233).

The spelling of 12120332112 in words is "twelve billion, one hundred twenty million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12024139 24048278 36072417 48096556 72144834 84168973 96193112 108217251 144289668 168337946 192386224 216434502 252506919 288579336 336675892 432869004 505013838 577158672 673351784 757520757 865738008 1010027676 1346703568 1515041514 1731476016 2020055352 3030083028 4040110704 6060166056 12120332112