Search a number
-
+
12111086172 = 22319232309513
BaseRepresentation
bin10110100011110000…
…01000001001011100
31011021001010220221010
423101320020021130
5144300414224142
65321434335220
7606060351063
oct132170101134
934231126833
1012111086172
115155435329
12241bb8a510
1311b018a3a3
1482c6971da
154ad3b4e9c
hex2d1e0825c

12111086172 has 48 divisors (see below), whose sum is σ = 31039868160. Its totient is φ = 3658267008.

The previous prime is 12111086167. The next prime is 12111086177. The reversal of 12111086172 is 27168011121.

It is an interprime number because it is at equal distance from previous prime (12111086167) and next prime (12111086177).

It is a super-2 number, since 2×121110861722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111086177) 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, 1149513 + ... + 1160000.

It is an arithmetic number, because the mean of its divisors is an integer number (646663920).

Almost surely, 212111086172 is an apocalyptic number.

12111086172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12111086172 is an abundant number, since it is smaller than the sum of its proper divisors (18928781988).

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

12111086172 is a wasteful number, since it uses less digits than its factorization.

12111086172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309562 (or 2309560 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

Adding to 12111086172 its reverse (27168011121), we get a palindrome (39279097293).

The spelling of 12111086172 in words is "twelve billion, one hundred eleven million, eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 2309513 4619026 6928539 9238052 13857078 27714156 43880747 53118799 87761494 106237598 131642241 159356397 175522988 212475196 263284482 318712794 526568964 637425588 1009257181 2018514362 3027771543 4037028724 6055543086 12111086172