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112121112220 = 225136122033209
BaseRepresentation
bin110100001101011110…
…0000110011010011100
3101201101220122122022221
41220122330012122130
53314111001042340
6123301400315124
711046315505045
oct1503274063234
9351356578287
10112121112220
1143606499117
1219891172aa4
13a75aa9a4b0
1455d8ba78cc
152db343044a
hex1a1af0669c

112121112220 has 96 divisors (see below), whose sum is σ = 257920367040. Its totient is φ = 40688732160.

The previous prime is 112121112209. The next prime is 112121112251. The reversal of 112121112220 is 22211121211.

It is a super-2 number, since 2×1121211122202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112121112194 and 112121112203.

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, 34937976 + ... + 34941184.

It is an arithmetic number, because the mean of its divisors is an integer number (2686670490).

Almost surely, 2112121112220 is an apocalyptic number.

112121112220 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 112121112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128960183520).

112121112220 is an abundant number, since it is smaller than the sum of its proper divisors (145799254820).

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

112121112220 is a wasteful number, since it uses less digits than its factorization.

112121112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112121112220 its reverse (22211121211), we get a palindrome (134332233431).

The spelling of 112121112220 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 2203 3172 3209 3965 4406 6418 7930 8812 11015 12836 15860 16045 22030 28639 32090 41717 44060 57278 64180 83434 114556 134383 143195 166868 195749 208585 268766 286390 391498 417170 537532 572780 671915 782996 834340 978745 1343830 1746979 1957490 2544737 2687660 3493958 3914980 5089474 6987916 7069427 8734895 10178948 12723685 14138854 17469790 25447370 28277708 34939580 35347135 50894740 70694270 91902551 141388540 183805102 367610204 431235047 459512755 862470094 919025510 1724940188 1838051020 2156175235 4312350470 5606055611 8624700940 11212111222 22424222444 28030278055 56060556110 112121112220