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12423224112 = 24313157173733
BaseRepresentation
bin10111001000111101…
…10101101100110000
31012001210111011200120
423210132311230300
5200420321132422
65412424450240
7616600443165
oct134436655460
935053434616
1012423224112
1152a564a172
1224a8619980
13122ca47bb0
1485bd0a06c
154ca9c045c
hex2e47b5b30

12423224112 has 160 divisors (see below), whose sum is σ = 35030966208. Its totient is φ = 3771076608.

The previous prime is 12423224087. The next prime is 12423224171. The reversal of 12423224112 is 21142232421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 16948098 + ... + 16948830.

Almost surely, 212423224112 is an apocalyptic number.

12423224112 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 12423224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515483104).

12423224112 is an abundant number, since it is smaller than the sum of its proper divisors (22607742096).

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

12423224112 is a wasteful number, since it uses less digits than its factorization.

12423224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12423224112 its reverse (21142232421), we get a palindrome (33565456533).

The spelling of 12423224112 in words is "twelve billion, four hundred twenty-three million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 173 208 312 314 346 471 519 624 628 692 733 942 1038 1256 1384 1466 1884 2041 2076 2199 2249 2512 2768 2932 3768 4082 4152 4398 4498 5864 6123 6747 7536 8164 8304 8796 8996 9529 11728 12246 13494 16328 17592 17992 19058 24492 26988 27161 28587 32656 35184 35984 38116 48984 53976 54322 57174 76232 81483 97968 107952 108644 114348 115081 126809 152464 162966 217288 228696 230162 253618 325932 345243 353093 380427 434576 457392 460324 507236 651864 690486 706186 760854 920648 1014472 1059279 1303728 1380972 1412372 1496053 1521708 1648517 1841296 2028944 2118558 2761944 2824744 2992106 3043416 3297034 4237116 4488159 4945551 5523888 5649488 5984212 6086832 6594068 8474232 8976318 9891102 11968424 13188136 16948464 17952636 19782204 19909013 23936848 26376272 35905272 39564408 39818026 59727039 71810544 79128816 79636052 119454078 159272104 238908156 258817169 318544208 477816312 517634338 776451507 955632624 1035268676 1552903014 2070537352 3105806028 4141074704 6211612056 12423224112