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120012332112 = 243231101266183
BaseRepresentation
bin110111111000101001…
…0101101110001010000
3102110202212101010222100
41233301102231301100
53431241124111422
6131044412440400
711446005664041
oct1576122556120
9373685333870
10120012332112
1146995918452
121b313a79100
13b41791458a
145b46c368c8
1531c60de7ac
hex1bf14adc50

120012332112 has 120 divisors (see below), whose sum is σ = 350136304128. Its totient is φ = 38330208000.

The previous prime is 120012332107. The next prime is 120012332113. The reversal of 120012332112 is 211233210021.

120012332112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317773 + ... + 583955.

Almost surely, 2120012332112 is an apocalyptic number.

120012332112 is a gapful number since it is divisible by the number (12) 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 120012332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175068152064).

120012332112 is an abundant number, since it is smaller than the sum of its proper divisors (230123972016).

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

120012332112 is a wasteful number, since it uses less digits than its factorization.

120012332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266329 (or 266320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120012332112 its reverse (211233210021), we get a palindrome (331245542133).

The spelling of 120012332112 in words is "one hundred twenty billion, twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 101 124 144 186 202 248 279 303 372 404 496 558 606 744 808 909 1116 1212 1488 1616 1818 2232 2424 3131 3636 4464 4848 6262 7272 9393 12524 14544 18786 25048 28179 37572 50096 56358 75144 112716 150288 225432 266183 450864 532366 798549 1064732 1597098 2129464 2395647 3194196 4258928 4791294 6388392 8251673 9582588 12776784 16503346 19165176 24755019 26884483 33006692 38330352 49510038 53768966 66013384 74265057 80653449 99020076 107537932 132026768 148530114 161306898 198040152 215075864 241960347 297060228 322613796 396080304 430151728 483920694 594120456 645227592 833418973 967841388 1188240912 1290455184 1666837946 1935682776 2500256919 3333675892 3871365552 5000513838 6667351784 7500770757 10001027676 13334703568 15001541514 20002055352 30003083028 40004110704 60006166056 120012332112