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120002201211100 = 2252131925537190249
BaseRepresentation
bin11011010010010000110000…
…100100110101000011011100
3120201220002122201202010220111
4123102100300210311003130
5111212104002002223400
61103120130012255404
734163605262156215
oct3322206044650334
9521802581663814
10120002201211100
113526671415073a
1211561292471564
1351c620b493650
14218c1cd54440c
15dd17eca113ba
hex6d24309350dc

120002201211100 has 144 divisors (see below), whose sum is σ = 295208809420000. Its totient is φ = 41974614097920.

The previous prime is 120002201211031. The next prime is 120002201211131. The reversal of 120002201211100 is 1112102200021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630668776 + ... + 630859024.

Almost surely, 2120002201211100 is an apocalyptic number.

120002201211100 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 120002201211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147604404710000).

120002201211100 is an abundant number, since it is smaller than the sum of its proper divisors (175206608208900).

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

120002201211100 is a wasteful number, since it uses less digits than its factorization.

120002201211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215832 (or 215825 counting only the distinct ones).

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

Adding to 120002201211100 its reverse (1112102200021), we get a palindrome (121114303411121).

The spelling of 120002201211100 in words is "one hundred twenty trillion, two billion, two hundred one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 25537 51074 102148 127685 190249 255370 331981 380498 485203 510740 638425 663962 760996 951245 970406 1276850 1327924 1659905 1902490 1940812 2426015 2473237 2553700 3319810 3614731 3804980 4756225 4852030 4946474 6307639 6639620 7229462 8299525 9512450 9704060 9892948 12130075 12366185 12615278 14458924 16599050 18073655 19024900 24260150 24732370 25230556 31538195 33198100 36147310 46991503 48520300 49464740 61830925 63076390 72294620 90368275 93983006 123661850 126152780 157690975 180736550 187966012 234957515 247323700 315381950 361473100 469915030 630763900 939830060 1174787575 2349575150 4699150300 4858388713 9716777426 19433554852 24291943565 48583887130 63159053269 92309385547 97167774260 121459717825 126318106538 184618771094 242919435650 252636213076 315795266345 369237542188 461546927735 485838871300 631590532690 923093855470 1200022012111 1263181065380 1578976331725 1846187710940 2307734638675 2400044024222 3157952663450 4615469277350 4800088048444 6000110060555 6315905326900 9230938554700 12000220121110 24000440242220 30000550302775 60001100605550 120002201211100