Search a number
-
+
12042121112 = 2371911519833
BaseRepresentation
bin10110011011100010…
…00010111110011000
31011002020101010122122
423031301002332120
5144130240333422
65310532240412
7604262224550
oct131561027630
934066333578
1012042121112
11511a51090a
122400a70108
13119bac1968
14823464160
154a72e0d42
hex2cdc42f98

12042121112 has 64 divisors (see below), whose sum is σ = 27189043200. Its totient is φ = 4884537600.

The previous prime is 12042121097. The next prime is 12042121123. The reversal of 12042121112 is 21112124021.

12042121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120421211122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219748 + ... + 1229580.

It is an arithmetic number, because the mean of its divisors is an integer number (424828800).

Almost surely, 212042121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594521600).

12042121112 is an abundant number, since it is smaller than the sum of its proper divisors (15146922088).

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

12042121112 is a wasteful number, since it uses less digits than its factorization.

12042121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12042121112 its reverse (21112124021), we get a palindrome (33154245133).

The spelling of 12042121112 in words is "twelve billion, forty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1151 2302 4604 8057 9208 9833 16114 19666 21869 32228 39332 43738 64456 68831 78664 87476 137662 153083 174952 186827 275324 306166 373654 550648 612332 747308 1224664 1307789 1494616 2615578 5231156 10462312 11317783 22635566 45271132 79224481 90542264 158448962 215037877 316897924 430075754 633795848 860151508 1505265139 1720303016 3010530278 6021060556 12042121112