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112220120112 = 24317712517717
BaseRepresentation
bin110100010000011010…
…1110010010000110000
3101201122210221202121220
41220200311302100300
53314311322320422
6123315254345040
711051630165562
oct1504065622060
9351583852556
10112220120112
1143657372221
12198ba35b180
13a775454549
145607dbb332
152dbbe8ae5c
hex1a20d72430

112220120112 has 160 divisors (see below), whose sum is σ = 312558994944. Its totient is φ = 34567680000.

The previous prime is 112220120099. The next prime is 112220120113. The reversal of 112220120112 is 211021022211.

It is a junction number, because it is equal to n+sod(n) for n = 112220120091 and 112220120100.

It is not an unprimeable number, because it can be changed into a prime (112220120113) 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, 14538078 + ... + 14545794.

Almost surely, 2112220120112 is an apocalyptic number.

112220120112 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 112220120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156279497472).

112220120112 is an abundant number, since it is smaller than the sum of its proper divisors (200338874832).

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

112220120112 is a wasteful number, since it uses less digits than its factorization.

112220120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067 (or 8061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112220120112 its reverse (211021022211), we get a palindrome (323241142323).

The spelling of 112220120112 in words is "one hundred twelve billion, two hundred twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 251 272 284 408 426 502 568 753 816 852 1004 1136 1207 1506 1704 2008 2414 3012 3408 3621 4016 4267 4828 6024 7242 7717 8534 9656 12048 12801 14484 15434 17068 17821 19312 23151 25602 28968 30868 34136 35642 46302 51204 53463 57936 61736 68272 71284 92604 102408 106926 123472 131189 142568 185208 204816 213852 262378 285136 302957 370416 393567 427704 524756 547907 605914 787134 855408 908871 1049512 1095814 1211828 1574268 1643721 1817742 1936967 2099024 2191628 2423656 3148536 3287442 3635484 3873934 4383256 4847312 5810901 6297072 6574884 7270968 7747868 8766512 9314419 11621802 13149768 14541936 15495736 18628838 23243604 26299536 27943257 30991472 32928439 37257676 46487208 55886514 65856878 74515352 92974416 98785317 111773028 131713756 137524657 149030704 197570634 223546056 263427512 275049314 395141268 412573971 447092112 526855024 550098628 790282536 825147942 1100197256 1580565072 1650295884 2200394512 2337919169 3300591768 4675838338 6601183536 7013757507 9351676676 14027515014 18703353352 28055030028 37406706704 56110060056 112220120112