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112212011120 = 245114112232543
BaseRepresentation
bin110100010000001011…
…0110110100001110000
3101201122020200210011212
41220200112312201300
53314302233323440
6123314404455252
711051501233316
oct1504026664160
9351566623155
10112212011120
1143652833880
12198b76aa528
13a773875621
145606caa0b6
152dbb3d8465
hex1a205b6870

112212011120 has 160 divisors (see below), whose sum is σ = 291905316864. Its totient is φ = 39760947200.

The previous prime is 112212011117. The next prime is 112212011173. The reversal of 112212011120 is 21110212211.

112212011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112212011095 and 112212011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44124569 + ... + 44127111.

Almost surely, 2112212011120 is an apocalyptic number.

112212011120 is a gapful number since it is divisible by the number (10) 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 112212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145952658432).

112212011120 is an abundant number, since it is smaller than the sum of its proper divisors (179693305744).

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

112212011120 is a wasteful number, since it uses less digits than its factorization.

112212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112212011120 its reverse (21110212211), we get a palindrome (133322223331).

The spelling of 112212011120 in words is "one hundred twelve billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1223 1640 1804 2255 2446 2543 3280 3608 4510 4892 5086 6115 7216 9020 9784 10172 12230 12715 13453 18040 19568 20344 24460 25430 26906 27973 36080 40688 48920 50143 50860 53812 55946 67265 97840 100286 101720 104263 107624 111892 134530 139865 200572 203440 208526 215248 223784 250715 269060 279730 401144 417052 447568 501430 521315 538120 551573 559460 802288 834104 1002860 1042630 1076240 1103146 1118920 1146893 1668208 2005720 2085260 2206292 2237840 2293786 2757865 3110089 4011440 4170520 4412584 4587572 5515730 5734465 6220178 8341040 8825168 9175144 11031460 11468930 12440356 15550445 18350288 22062920 22937860 24880712 31100890 34210979 44125840 45875720 49761424 62201780 68421958 91751440 124403560 127513649 136843916 171054895 248807120 255027298 273687832 342109790 510054596 547375664 637568245 684219580 1020109192 1275136490 1368439160 1402650139 2040218384 2550272980 2736878320 2805300278 5100545960 5610600556 7013250695 10201091920 11221201112 14026501390 22442402224 28053002780 56106005560 112212011120