Search a number
-
+
12114123112 = 2371320398161
BaseRepresentation
bin10110100100000111…
…01101100101101000
31011021020212012211101
423102003231211220
5144302203414422
65322023411144
7606125230120
oct132203554550
934236765741
1012114123112
115157119aa3
122420bb3ab4
1311b09b17b0
1482cc47c80
154ad7b4c27
hex2d20ed968

12114123112 has 64 divisors (see below), whose sum is σ = 27972806400. Its totient is φ = 4789463040.

The previous prime is 12114123101. The next prime is 12114123137. The reversal of 12114123112 is 21132141121.

It is a super-3 number, since 3×121141231123 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114123112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480312 + ... + 1488472.

It is an arithmetic number, because the mean of its divisors is an integer number (437075100).

Almost surely, 212114123112 is an apocalyptic number.

It is an amenable number.

12114123112 is an abundant number, since it is smaller than the sum of its proper divisors (15858683288).

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

12114123112 is a wasteful number, since it uses less digits than its factorization.

12114123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10222 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

Adding to 12114123112 its reverse (21132141121), we get a palindrome (33246264233).

The spelling of 12114123112 in words is "twelve billion, one hundred fourteen million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 2039 4078 8156 8161 14273 16312 16322 26507 28546 32644 53014 57092 57127 65288 106028 106093 114184 114254 185549 212056 212186 228508 371098 424372 457016 742196 742651 848744 1484392 1485302 2970604 5941208 16640279 33280558 66561116 116481953 133122232 216323627 232963906 432647254 465927812 865294508 931855624 1514265389 1730589016 3028530778 6057061556 12114123112