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120212110101984 = 2534357435070721
BaseRepresentation
bin11011010101010100010000…
…000111101100110111100000
3120202122011110122100122022120
4123111110100013230313200
5111224023400141230414
61103400403032304240
734215016103253015
oct3325242007546740
9522564418318276
10120212110101984
113533774025825a
1211595ab4542080
13520cc51650264
14219842362d70c
15dd6ed5d482a9
hex6d55101ecde0

120212110101984 has 96 divisors (see below), whose sum is σ = 322951606838784. Its totient is φ = 39132003778560.

The previous prime is 120212110101983. The next prime is 120212110102037. The reversal of 120212110101984 is 489101011212021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212110101983) 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, 21171744 + ... + 26242464.

It is an arithmetic number, because the mean of its divisors is an integer number (3364079237904).

Almost surely, 2120212110101984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212110101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161475803419392).

120212110101984 is an abundant number, since it is smaller than the sum of its proper divisors (202739496736800).

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

120212110101984 is a wasteful number, since it uses less digits than its factorization.

120212110101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076520 (or 5076512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 120212110101984 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred ten million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 5743 11486 17229 22972 34458 45944 68916 91888 137832 183776 246949 275664 493898 551328 740847 987796 1481694 1975592 2963388 3951184 5070721 5926776 7902368 10141442 11853552 15212163 20282884 23707104 30424326 40565768 60848652 81131536 121697304 162263072 218041003 243394608 436082006 486789216 654123009 872164012 1308246018 1744328024 2616492036 3488656048 5232984072 6977312096 10465968144 20931936288 29121150703 58242301406 87363452109 116484602812 174726904218 232969205624 349453808436 465938411248 698907616872 931876822496 1252209480229 1397815233744 2504418960458 2795630467488 3756628440687 5008837920916 7513256881374 10017675841832 15026513762748 20035351683664 30053027525496 40070703367328 60106055050992 120212110101984