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120103232112 = 2435101305849
BaseRepresentation
bin110111111011010110…
…1011110001001110000
3102111000012102100100000
41233312231132021300
53431432411411422
6131101421030000
711451161425443
oct1576655361160
9374005370300
10120103232112
1146a32163a16
121b33a3b5300
13b4306c0066
145b54d3965a
1531ce097cac
hex1bf6b5e270

120103232112 has 120 divisors (see below), whose sum is σ = 352023562800. Its totient is φ = 39637900800.

The previous prime is 120103232089. The next prime is 120103232131. The reversal of 120103232112 is 211232301021.

120103232112 is a `hidden beast` number, since 120 + 10 + 323 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239764 + ... + 545612.

It is an arithmetic number, because the mean of its divisors is an integer number (2933529690).

Almost surely, 2120103232112 is an apocalyptic number.

120103232112 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 120103232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176011781400).

120103232112 is an abundant number, since it is smaller than the sum of its proper divisors (231920330688).

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

120103232112 is a wasteful number, since it uses less digits than its factorization.

120103232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305973 (or 305955 counting only the distinct ones).

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

Adding to 120103232112 its reverse (211232301021), we get a palindrome (331335533133).

The spelling of 120103232112 in words is "one hundred twenty billion, one hundred three million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 303 324 404 432 486 606 648 808 909 972 1212 1296 1616 1818 1944 2424 2727 3636 3888 4848 5454 7272 8181 10908 14544 16362 21816 24543 32724 43632 49086 65448 98172 130896 196344 305849 392688 611698 917547 1223396 1835094 2446792 2752641 3670188 4893584 5505282 7340376 8257923 11010564 14680752 16515846 22021128 24773769 30890749 33031692 44042256 49547538 61781498 66063384 74321307 92672247 99095076 123562996 132126768 148642614 185344494 198190152 247125992 278016741 297285228 370688988 396380304 494251984 556033482 594570456 741377976 834050223 1112066964 1189140912 1482755952 1668100446 2224133928 2502150669 3336200892 4448267856 5004301338 6672401784 7506452007 10008602676 13344803568 15012904014 20017205352 30025808028 40034410704 60051616056 120103232112