Search a number
-
+
12123110112 = 253235490539
BaseRepresentation
bin10110100101001011…
…11111101011100000
31011021212202210200020
423102211333223200
5144312004010422
65322544153440
7606264510231
oct132245775340
934255683606
1012123110112
1151611a8073
122424008880
1311b280a249
14830107088
154ae48c95c
hex2d297fae0

12123110112 has 48 divisors (see below), whose sum is σ = 33206785920. Its totient is φ = 3865338752.

The previous prime is 12123110101. The next prime is 12123110177. The reversal of 12123110112 is 21101132121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12123110091 and 12123110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2743062 + ... + 2747477.

It is an arithmetic number, because the mean of its divisors is an integer number (691808040).

Almost surely, 212123110112 is an apocalyptic number.

12123110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123110112 is an abundant number, since it is smaller than the sum of its proper divisors (21083675808).

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

12123110112 is a wasteful number, since it uses less digits than its factorization.

12123110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490575 (or 5490567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12123110112 its reverse (21101132121), we get a palindrome (33224242233).

The spelling of 12123110112 in words is "twelve billion, one hundred twenty-three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5490539 10981078 16471617 21962156 32943234 43924312 65886468 87848624 126282397 131772936 175697248 252564794 263545872 378847191 505129588 527091744 757694382 1010259176 1515388764 2020518352 3030777528 4041036704 6061555056 12123110112