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12142111124120 = 235756894010527
BaseRepresentation
bin1011000010110000111000…
…1110000110101010011000
31120222202220121020012101212
42300230032032012222120
53042414020421432440
641454001524402252
72362144555436435
oct260541616065230
946882817205355
1012142111124120
11396149320481a
121441280546388
136a0cc4765b43
142dd977750b8c
15160c9e155465
hexb0b0e386a98

12142111124120 has 32 divisors (see below), whose sum is σ = 27320117788800. Its totient is φ = 4856779070208.

The previous prime is 12142111124119. The next prime is 12142111124141. The reversal of 12142111124120 is 2142111124121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022297 + ... + 5032823.

It is an arithmetic number, because the mean of its divisors is an integer number (853753680900).

Almost surely, 212142111124120 is an apocalyptic number.

12142111124120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142111124120 is an abundant number, since it is smaller than the sum of its proper divisors (15178006664680).

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

12142111124120 is a wasteful number, since it uses less digits than its factorization.

12142111124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086227 (or 4086223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 12142111124120 its reverse (2142111124121), we get a palindrome (14284222248241).

Subtracting from 12142111124120 its reverse (2142111124121), we obtain a palindrome (9999999999999).

The spelling of 12142111124120 in words is "twelve trillion, one hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 75689 151378 302756 378445 605512 756890 1513780 3027560 4010527 8021054 16042108 20052635 32084216 40105270 80210540 160421080 303552778103 607105556206 1214211112412 1517763890515 2428422224824 3035527781030 6071055562060 12142111124120