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120002201210100 = 2235211208117474437
BaseRepresentation
bin11011010010010000110000…
…100100110100110011110100
3120201220002122201202002112110
4123102100300210310303310
5111212104002002210400
61103120130012251020
734163605262153256
oct3322206044646364
9521802581662473
10120002201210100
113526671414aa10
1211561292470a70
1351c620b493061
14218c1cd543cd6
15dd17eca10e50
hex6d2430934cf4

120002201210100 has 144 divisors (see below), whose sum is σ = 378952619605056. Its totient is φ = 29077461504000.

The previous prime is 120002201210057. The next prime is 120002201210107. The reversal of 120002201210100 is 1012102200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002201210107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869919 + ... + 15604518.

It is an arithmetic number, because the mean of its divisors is an integer number (2631615413924).

Almost surely, 2120002201210100 is an apocalyptic number.

120002201210100 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 120002201210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189476309802528).

120002201210100 is an abundant number, since it is smaller than the sum of its proper divisors (258950418394956).

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

120002201210100 is a wasteful number, since it uses less digits than its factorization.

120002201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17476546 (or 17476539 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120002201210100 its reverse (1012102200021), we get a palindrome (121014303410121).

The spelling of 120002201210100 in words is "one hundred twenty trillion, two billion, two hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2081 3300 4162 6243 8324 10405 12486 20810 22891 24972 31215 41620 45782 52025 62430 68673 91564 104050 114455 124860 137346 156075 208100 228910 274692 312150 343365 457820 572275 624300 686730 1144550 1373460 1716825 2289100 3433650 6867300 17474437 34948874 52423311 69897748 87372185 104846622 174744370 192218807 209693244 262116555 349488740 384437614 436860925 524233110 576656421 768875228 873721850 961094035 1048466220 1153312842 1310582775 1747443700 1922188070 2306625684 2621165550 2883282105 3844376140 4805470175 5242331100 5766564210 9610940350 11533128420 14416410525 19221880700 28832821050 36364303397 57665642100 72728606794 109092910191 145457213588 181821516985 218185820382 363643033970 400007337367 436371640764 545464550955 727286067940 800014674734 909107584925 1090929101910 1200022012101 1600029349468 1818215169850 2000036686835 2181858203820 2400044024202 2727322754775 3636430339700 4000073373670 4800088048404 5454645509550 6000110060505 8000146747340 10000183434175 10909291019100 12000220121010 20000366868350 24000440242020 30000550302525 40000733736700 60001100605050 120002201210100