Search a number
-
+
12221120112 = 24319109122939
BaseRepresentation
bin10110110000110111…
…10111111001110000
31011112201012020010020
423120123313321300
5200012101320422
65340405003440
7611564543535
oct133033677160
934481166106
1012221120112
11520155a473
1224509b3580
1311c9c05026
1483d13ad8c
154b7d9c95c
hex2d86f7e70

12221120112 has 80 divisors (see below), whose sum is σ = 33538032000. Its totient is φ = 3823863552.

The previous prime is 12221120101. The next prime is 12221120129. The reversal of 12221120112 is 21102112221.

It is a junction number, because it is equal to n+sod(n) for n = 12221120091 and 12221120100.

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, 37939 + ... + 160877.

It is an arithmetic number, because the mean of its divisors is an integer number (419225400).

Almost surely, 212221120112 is an apocalyptic number.

12221120112 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 12221120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769016000).

12221120112 is an abundant number, since it is smaller than the sum of its proper divisors (21316911888).

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

12221120112 is a wasteful number, since it uses less digits than its factorization.

12221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123078 (or 123072 counting only the distinct ones).

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

Adding to 12221120112 its reverse (21102112221), we get a palindrome (33323232333).

The spelling of 12221120112 in words is "twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 114 152 218 228 304 327 436 456 654 872 912 1308 1744 2071 2616 4142 5232 6213 8284 12426 16568 24852 33136 49704 99408 122939 245878 368817 491756 737634 983512 1475268 1967024 2335841 2950536 4671682 5901072 7007523 9343364 13400351 14015046 18686728 26800702 28030092 37373456 40201053 53601404 56060184 80402106 107202808 112120368 160804212 214405616 254606669 321608424 509213338 643216848 763820007 1018426676 1527640014 2036853352 3055280028 4073706704 6110560056 12221120112