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12101100000120 = 23325313729306161
BaseRepresentation
bin1011000000011000000111…
…0001000101001101111000
31120211212001110120020112100
42300012001301011031320
53041231023100000440
641423100225543400
72356163352564315
oct260060161051570
946755043506470
1012101100000120
11394605852530a
121435335aa4b60
1369a18a080071
142db9a6b7bd0c
1515eb9d9e1230
hexb0181c45378

12101100000120 has 192 divisors, whose sum is σ = 41694462800640. Its totient is φ = 3038462668800.

The previous prime is 12101100000103. The next prime is 12101100000139. The reversal of 12101100000120 is 2100000110121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 14240161 + ... + 15066000.

It is an arithmetic number, because the mean of its divisors is an integer number (217158660420).

Almost surely, 212101100000120 is an apocalyptic number.

12101100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101100000120 is an abundant number, since it is smaller than the sum of its proper divisors (29593362800520).

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

12101100000120 is a wasteful number, since it uses less digits than its factorization.

12101100000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29306246 (or 29306239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101100000120 its reverse (2100000110121), we get a palindrome (14201100110241).

The spelling of 12101100000120 in words is "twelve trillion, one hundred one billion, one hundred million, one hundred twenty", and thus it is an aban number.