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112221120 = 26351110627
BaseRepresentation
bin1101011000001…
…01101111000000
321211011102102210
412230011233000
5212212033440
615045142120
72531602164
oct654055700
9254142383
10112221120
1158389430
12316ba940
131a33233b
1410c92ca4
159cbaa80
hex6b05bc0

112221120 has 112 divisors (see below), whose sum is σ = 388729728. Its totient is φ = 27202560.

The previous prime is 112221113. The next prime is 112221133. The reversal of 112221120 is 21122211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112221096 and 112221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5247 + ... + 15873.

Almost surely, 2112221120 is an apocalyptic number.

112221120 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 112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194364864).

112221120 is an abundant number, since it is smaller than the sum of its proper divisors (276508608).

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

112221120 is a wasteful number, since it uses less digits than its factorization.

112221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112221120 is about 10593.4470310660. The cubic root of 112221120 is about 482.3454649318.

Adding to 112221120 its reverse (21122211), we get a palindrome (133343331).

The spelling of 112221120 in words is "one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 10627 21254 31881 42508 53135 63762 85016 106270 116897 127524 159405 170032 212540 233794 255048 318810 340064 350691 425080 467588 510096 584485 637620 680128 701382 850160 935176 1020192 1168970 1275240 1402764 1700320 1753455 1870352 2040384 2337940 2550480 2805528 3400640 3506910 3740704 4675880 5100960 5611056 7013820 7481408 9351760 10201920 11222112 14027640 18703520 22444224 28055280 37407040 56110560 112221120