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12120023112 = 23317269110431
BaseRepresentation
bin10110100100110100…
…01110000001001000
31011021122221222002220
423102122032001020
5144310211214422
65322354054040
7606226332231
oct132232160110
934248858086
1012120023112
11515a48982a
122422b7a320
1311b1c99112
1482d942088
154ae07ce5c
hex2d268e048

12120023112 has 64 divisors (see below), whose sum is σ = 32201971200. Its totient is φ = 3788190720.

The previous prime is 12120023059. The next prime is 12120023117. The reversal of 12120023112 is 21132002121.

It is a junction number, because it is equal to n+sod(n) for n = 12120023091 and 12120023100.

It is not an unprimeable number, because it can be changed into a prime (12120023117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54537 + ... + 164967.

It is an arithmetic number, because the mean of its divisors is an integer number (503155800).

Almost surely, 212120023112 is an apocalyptic number.

12120023112 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 12120023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100985600).

12120023112 is an abundant number, since it is smaller than the sum of its proper divisors (20081948088).

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

12120023112 is a wasteful number, since it uses less digits than its factorization.

12120023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110726 (or 110722 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12120023112 its reverse (21132002121), we get a palindrome (33252025233).

The spelling of 12120023112 in words is "twelve billion, one hundred twenty million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 269 408 538 807 1076 1614 2152 3228 4573 6456 9146 13719 18292 27438 36584 54876 109752 110431 220862 331293 441724 662586 883448 1325172 1877327 2650344 3754654 5631981 7509308 11263962 15018616 22527924 29705939 45055848 59411878 89117817 118823756 178235634 237647512 356471268 505000963 712942536 1010001926 1515002889 2020003852 3030005778 4040007704 6060011556 12120023112