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12102000221120 = 265307233952667
BaseRepresentation
bin1011000000011011011101…
…1011001001101111000000
31120211221101012111012120212
42300012313123021233000
53041234344024033440
641423325424453252
72356224563413325
oct260066733115700
946757335435525
1012102000221120
11394647a698707
12143554747a228
1369a2a1723204
142dba50554b4c
1515ec02a63465
hexb01b76c9bc0

12102000221120 has 112 divisors (see below), whose sum is σ = 28924667291520. Its totient is φ = 4822877574144.

The previous prime is 12102000221081. The next prime is 12102000221123. The reversal of 12102000221120 is 2112200020121.

It is a junction number, because it is equal to n+sod(n) for n = 12102000221095 and 12102000221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102000221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229757027 + ... + 229809693.

It is an arithmetic number, because the mean of its divisors is an integer number (258255957960).

Almost surely, 212102000221120 is an apocalyptic number.

12102000221120 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 12102000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462333645760).

12102000221120 is an abundant number, since it is smaller than the sum of its proper divisors (16822667070400).

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

12102000221120 is a wasteful number, since it uses less digits than its factorization.

12102000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55330 (or 55320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102000221120 its reverse (2112200020121), we get a palindrome (14214200241241).

The spelling of 12102000221120 in words is "twelve trillion, one hundred two billion, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 307 320 614 1228 1535 2339 2456 3070 4678 4912 6140 9356 9824 11695 12280 18712 19648 23390 24560 37424 46780 49120 52667 74848 93560 98240 105334 149696 187120 210668 263335 374240 421336 526670 718073 748480 842672 1053340 1436146 1685344 2106680 2872292 3370688 3590365 4213360 5744584 7180730 8426720 11489168 14361460 16168769 16853440 22978336 28722920 32337538 45956672 57445840 64675076 80843845 114891680 123188113 129350152 161687690 229783360 246376226 258700304 323375380 492752452 517400608 615940565 646750760 985504904 1034801216 1231881130 1293501520 1971009808 2463762260 2587003040 3942019616 4927524520 5174006080 7884039232 9855049040 19710098080 37818750691 39420196160 75637501382 151275002764 189093753455 302550005528 378187506910 605100011056 756375013820 1210200022112 1512750027640 2420400044224 3025500055280 6051000110560 12102000221120