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12102023120 = 2451122395231
BaseRepresentation
bin10110100010101011…
…00011011111010000
31011020102002110202112
423101111203133100
5144241104214440
65320512204452
7605620333145
oct132125433720
934212073675
1012102023120
115150305100
122418b39728
1311ab336135
1482b3b83cc
154ac6c4965
hex2d15637d0

12102023120 has 120 divisors (see below), whose sum is σ = 31063011840. Its totient is φ = 4381484800.

The previous prime is 12102023117. The next prime is 12102023149. The reversal of 12102023120 is 2132020121.

It is a happy number.

12102023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12102023095 and 12102023104.

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 23 ways as a sum of consecutive naturals, for example, 2310905 + ... + 2316135.

It is an arithmetic number, because the mean of its divisors is an integer number (258858432).

Almost surely, 212102023120 is an apocalyptic number.

12102023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531505920).

12102023120 is an abundant number, since it is smaller than the sum of its proper divisors (18960988720).

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

12102023120 is a wasteful number, since it uses less digits than its factorization.

12102023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12102023120 its reverse (2132020121), we get a palindrome (14234043241).

The spelling of 12102023120 in words is "twelve billion, one hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 239 242 440 478 484 605 880 956 968 1195 1210 1912 1936 2390 2420 2629 3824 4780 4840 5231 5258 9560 9680 10462 10516 13145 19120 20924 21032 26155 26290 28919 41848 42064 52310 52580 57541 57838 83696 104620 105160 115082 115676 144595 209240 210320 230164 231352 287705 289190 418480 460328 462704 575410 578380 632951 920656 1150820 1156760 1250209 1265902 2301640 2313520 2500418 2531804 3164755 4603280 5000836 5063608 6251045 6329510 10001672 10127216 12502090 12659020 13752299 20003344 25004180 25318040 27504598 50008360 50636080 55009196 68761495 100016720 110018392 137522990 151275289 220036784 275045980 302550578 550091960 605101156 756376445 1100183920 1210202312 1512752890 2420404624 3025505780 6051011560 12102023120