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12002112120 = 2335293341357
BaseRepresentation
bin10110010110110000…
…11011001001111000
31010222110002110122010
423023120123021320
5144040020041440
65302542525520
7603265161345
oct131330331170
933873073563
1012002112120
1150a9974529
1223ab5968a0
131193723cbb
1481c00b7cc
154a3a3b580
hex2cb61b278

12002112120 has 64 divisors (see below), whose sum is σ = 36129330720. Its totient is φ = 3189630464.

The previous prime is 12002112107. The next prime is 12002112137. The reversal of 12002112120 is 2121120021.

12002112120 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 = 12002112096 and 12002112105.

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 15 ways as a sum of consecutive naturals, for example, 135519 + ... + 205838.

Almost surely, 212002112120 is an apocalyptic number.

12002112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002112120 is an abundant number, since it is smaller than the sum of its proper divisors (24127218600).

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

12002112120 is a wasteful number, since it uses less digits than its factorization.

12002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341664 (or 341660 counting only the distinct ones).

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

Adding to 12002112120 its reverse (2121120021), we get a palindrome (14123232141).

The spelling of 12002112120 in words is "twelve billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1758 2344 2930 3516 4395 5860 7032 8790 11720 17580 35160 341357 682714 1024071 1365428 1706785 2048142 2730856 3413570 4096284 5120355 6827140 8192568 10240710 13654280 20481420 40962840 100017601 200035202 300052803 400070404 500088005 600105606 800140808 1000176010 1200211212 1500264015 2000352020 2400422424 3000528030 4000704040 6001056060 12002112120