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112120020144 = 243211307230563
BaseRepresentation
bin110100001101011011…
…1111011110010110000
3101201101211121011021200
41220122313323302300
53314110211121034
6123301321051200
711046303306126
oct1503267736260
9351354534250
10112120020144
1143605912680
1219890926b00
13a75a7a73b2
1455d89a1916
152db32b6a99
hex1a1adfbcb0

112120020144 has 120 divisors (see below), whose sum is σ = 343422311232. Its totient is φ = 33864946560.

The previous prime is 112120020143. The next prime is 112120020149. The reversal of 112120020144 is 441020021211.

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 (112120020143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371007 + ... + 601569.

Almost surely, 2112120020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171711155616).

112120020144 is an abundant number, since it is smaller than the sum of its proper divisors (231302291088).

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

112120020144 is a wasteful number, since it uses less digits than its factorization.

112120020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230895 (or 230886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112120020144 its reverse (441020021211), we get a palindrome (553140041355).

The spelling of 112120020144 in words is "one hundred twelve billion, one hundred twenty million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 307 396 528 614 792 921 1228 1584 1842 2456 2763 3377 3684 4912 5526 6754 7368 10131 11052 13508 14736 20262 22104 27016 30393 40524 44208 54032 60786 81048 121572 162096 230563 243144 461126 486288 691689 922252 1383378 1844504 2075067 2536193 2766756 3689008 4150134 5072386 5533512 7608579 8300268 10144772 11067024 15217158 16600536 20289544 22825737 30434316 33201072 40579088 45651474 60868632 70782841 91302948 121737264 141565682 182605896 212348523 283131364 365211792 424697046 566262728 637045569 778611251 849394092 1132525456 1274091138 1557222502 1698788184 2335833753 2548182276 3114445004 3397576368 4671667506 5096364552 6228890008 7007501259 9343335012 10192729104 12457780016 14015002518 18686670024 28030005036 37373340048 56060010072 112120020144