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12122011120 = 245593255523
BaseRepresentation
bin10110100101000011…
…10011010111110000
31011021210200222010211
423102201303113300
5144311213323440
65322504433504
7606252252202
oct132241632760
934253628124
1012122011120
11516061740a
122423778894
1311b2513c5b
1482dcdc772
154ae321eea
hex2d28735f0

12122011120 has 40 divisors (see below), whose sum is σ = 28231313616. Its totient is φ = 4840608768.

The previous prime is 12122011117. The next prime is 12122011163. The reversal of 12122011120 is 2111022121.

12122011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12122011120.

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 7 ways as a sum of consecutive naturals, for example, 80322 + ... + 175201.

Almost surely, 212122011120 is an apocalyptic number.

12122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122011120 is an abundant number, since it is smaller than the sum of its proper divisors (16109302496).

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

12122011120 is a wasteful number, since it uses less digits than its factorization.

12122011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256129 (or 256123 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12122011120 its reverse (2111022121), we get a palindrome (14233033241).

The spelling of 12122011120 in words is "twelve billion, one hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 255523 511046 1022092 1277615 2044184 2555230 4088368 5110460 10220920 20441840 151525139 303050278 606100556 757625695 1212201112 1515251390 2424402224 3030502780 6061005560 12122011120