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1120200114124 = 227132326918419
BaseRepresentation
bin10000010011010001001…
…000010011111111001100
310222002102200010212221201
4100103101020103333030
5121323132212122444
62214340212035244
7143634413602360
oct20232110237714
93862380125851
101120200114124
113a208a840793
12161128902b24
1381832a7a120
143c30a1a12a0
151e214099dd4
hex104d1213fcc

1120200114124 has 144 divisors (see below), whose sum is σ = 2526151425280. Its totient is φ = 423224714880.

The previous prime is 1120200114097. The next prime is 1120200114151. The reversal of 1120200114124 is 4214110020211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120200114097) and next prime (1120200114151).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133051987 + ... + 133060405.

Almost surely, 21120200114124 is an apocalyptic number.

1120200114124 is a gapful number since it is divisible by the number (14) 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 1120200114124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263075712640).

1120200114124 is an abundant number, since it is smaller than the sum of its proper divisors (1405951311156).

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

1120200114124 is a wasteful number, since it uses less digits than its factorization.

1120200114124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1120200114124 its reverse (4214110020211), we get a palindrome (5334310134335).

The spelling of 1120200114124 in words is "one trillion, one hundred twenty billion, two hundred million, one hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 529 598 644 691 1058 1196 1382 2093 2116 2764 3703 4186 4837 6877 7406 8372 8419 8983 9674 13754 14812 15893 16838 17966 19348 27508 31786 33676 35932 48139 58933 62881 63572 96278 109447 111251 117866 125762 192556 193637 206609 218894 222502 235732 251524 365539 387274 413218 437788 445004 731078 766129 774548 826436 1355459 1446263 1462156 1532258 2517281 2558773 2710918 2892526 3064516 4453651 4752007 5034562 5117546 5421836 5785052 5817529 8907302 9504014 10069124 10235092 11635058 17620967 17814604 19008028 23270116 31175557 33264049 35241934 40722703 57897463 62351114 66528098 70483868 75627877 81445406 115794926 124702228 133056196 133803167 151255754 162890812 231589852 267606334 302511508 405282241 529395139 535212668 810564482 936622169 1058790278 1621128964 1739441171 1873244338 2117580556 3077472841 3478882342 3746488676 6154945682 6957764684 12176088197 12309891364 21542309887 24352176394 40007146933 43084619774 48704352788 80014293866 86169239548 160028587732 280050028531 560100057062 1120200114124