Search a number
-
+
12123440112 = 2437172122451
BaseRepresentation
bin10110100101001110…
…10000001111110000
31011021220101120100110
423102213100033300
5144312100040422
65322555221320
7606300353310
oct132247201760
934256346313
1012123440112
115161402aa3
122424147840
1311b28c4504
14830191440
154ae50560c
hex2d29d03f0

12123440112 has 80 divisors (see below), whose sum is σ = 37898502912. Its totient is φ = 3260083200.

The previous prime is 12123440107. The next prime is 12123440117. The reversal of 12123440112 is 21104432121.

It is an interprime number because it is at equal distance from previous prime (12123440107) and next prime (12123440117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123440117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055514 + ... + 1066937.

Almost surely, 212123440112 is an apocalyptic number.

12123440112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123440112 is an abundant number, since it is smaller than the sum of its proper divisors (25775062800).

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

12123440112 is a wasteful number, since it uses less digits than its factorization.

12123440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122486 (or 2122480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12123440112 its reverse (21104432121), we get a palindrome (33227872233).

The spelling of 12123440112 in words is "twelve billion, one hundred twenty-three million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 2122451 4244902 6367353 8489804 12734706 14857157 16979608 25469412 29714314 33959216 36081667 44571471 50938824 59428628 72163334 89142942 101877648 108245001 118857256 144326668 178285884 216490002 237714512 252571669 288653336 356571768 432980004 505143338 577306672 713143536 757715007 865960008 1010286676 1515430014 1731920016 2020573352 3030860028 4041146704 6061720056 12123440112