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12123011101 = 179149945181
BaseRepresentation
bin10110100101001011…
…00111100000011101
31011021212120202212011
423102211213200131
5144311442323401
65322542111221
7606263615455
oct132245474035
934255522764
1012123011101
11516113a743
122423b7b511
1311b27a4166
148300bcd65
154ae46d451
hex2d296781d

12123011101 has 8 divisors (see below), whose sum is σ = 12199140000. Its totient is φ = 12046975920.

The previous prime is 12123011081. The next prime is 12123011167. The reversal of 12123011101 is 10111032121.

It is a happy number.

12123011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12123011101 - 27 = 12123010973 is a prime.

It is a super-3 number, since 3×121230111013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123011701) by changing a digit.

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, 245731 + ... + 290911.

It is an arithmetic number, because the mean of its divisors is an integer number (1524892500).

Almost surely, 212123011101 is an apocalyptic number.

It is an amenable number.

12123011101 is a deficient number, since it is larger than the sum of its proper divisors (76128899).

12123011101 is a wasteful number, since it uses less digits than its factorization.

12123011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46859.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12123011101 its reverse (10111032121), we get a palindrome (22234043222).

The spelling of 12123011101 in words is "twelve billion, one hundred twenty-three million, eleven thousand, one hundred one".

Divisors: 1 179 1499 45181 268321 8087399 67726319 12123011101