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120001111001112 = 2331123172311470127
BaseRepresentation
bin11011010010001111101111…
…100110000000100000011000
3120201212222211202022201221210
4123102033233212000200120
5111212044233404013422
61103115425505303120
734163536253426355
oct3322175746004030
9521788752281853
10120001111001112
1135266204812850
1211561029334aa0
1351c609665ca93
14218c12883362c
15dd1786e6110c
hex6d23ef980818

120001111001112 has 128 divisors (see below), whose sum is σ = 341703371612160. Its totient is φ = 34762740270720.

The previous prime is 120001111001069. The next prime is 120001111001117. The reversal of 120001111001112 is 211100111100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001111001117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4726993 + ... + 16197119.

It is an arithmetic number, because the mean of its divisors is an integer number (2669557590720).

Almost surely, 2120001111001112 is an apocalyptic number.

120001111001112 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 120001111001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170851685806080).

120001111001112 is an abundant number, since it is smaller than the sum of its proper divisors (221702260611048).

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

120001111001112 is a wasteful number, since it uses less digits than its factorization.

120001111001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471893 (or 11471889 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 120001111001112 its reverse (211100111100021), we get a palindrome (331101222101133).

The spelling of 120001111001112 in words is "one hundred twenty trillion, one billion, one hundred eleven million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1723 2024 3036 3446 5169 6072 6892 10338 13784 18953 20676 37906 39629 41352 56859 75812 79258 113718 118887 151624 158516 227436 237774 317032 435919 454872 475548 871838 951096 1307757 1743676 2615514 3487352 5231028 10462056 11470127 22940254 34410381 45880508 68820762 91761016 126171397 137641524 252342794 263812921 275283048 378514191 504685588 527625842 757028382 791438763 1009371176 1055251684 1514056764 1582877526 2110503368 2901942131 3028113528 3165755052 5803884262 6331510104 8705826393 11607768524 17411652786 19763028821 23215537048 34823305572 39526057642 59289086463 69646611144 79052115284 118578172926 158104230568 217393317031 237156345852 434786634062 454549662883 474312691704 652179951093 869573268124 909099325766 1304359902186 1363648988649 1739146536248 1818198651532 2608719804372 2727297977298 3636397303064 5000046291713 5217439608744 5454595954596 10000092583426 10909191909192 15000138875139 20000185166852 30000277750278 40000370333704 60000555500556 120001111001112