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120331310112 = 253213191691567
BaseRepresentation
bin111000000010001001…
…1100001010000100000
3102111121002120220112100
41300010103201100200
53432414303410422
6131140205330400
711456631155046
oct1600423412040
9374532526470
10120331310112
1147039984332
121b3a2866a00
13b468a28560
145b7734a396
1531e40eb7ac
hex1c044e1420

120331310112 has 144 divisors (see below), whose sum is σ = 387910373760. Its totient is φ = 35076312576.

The previous prime is 120331310111. The next prime is 120331310119. The reversal of 120331310112 is 211013133021.

120331310112 is a `hidden beast` number, since 1 + 20 + 331 + 310 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (120331310111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774648 + ... + 916919.

It is an arithmetic number, because the mean of its divisors is an integer number (2693822040).

Almost surely, 2120331310112 is an apocalyptic number.

120331310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120331310112 is an abundant number, since it is smaller than the sum of its proper divisors (267579063648).

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

120331310112 is a wasteful number, since it uses less digits than its factorization.

120331310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691615 (or 1691604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120331310112 its reverse (211013133021), we get a palindrome (331344443133).

The spelling of 120331310112 in words is "one hundred twenty billion, three hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 1691567 3383134 5074701 6766268 10149402 13532536 15224103 20298804 21990371 27065072 30448206 32139773 40597608 43980742 54130144 60896412 64279546 65971113 81195216 87961484 96419319 121792824 128559092 131942226 162390432 175922968 192838638 197913339 243585648 257118184 263884452 289257957 351845936 385677276 395826678 417817049 487171296 514236368 527768904 578515914 703691872 771354552 791653356 835634098 1028472736 1055537808 1157031828 1253451147 1542709104 1583306712 1671268196 2111075616 2314063656 2506902294 3085418208 3166613424 3342536392 3760353441 4628127312 5013804588 6333226848 6685072784 7520706882 9256254624 10027609176 13370145568 15041413764 20055218352 30082827528 40110436704 60165655056 120331310112