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42412123212 = 223101113309677
BaseRepresentation
bin100111011111111101…
…011010010001001100
311001110202220002111020
4213133331122101030
51143330000420322
631252302554140
73031004045664
oct473775322114
9131422802436
1042412123212
1116a945a09a8
128277898950
133ccba242c4
1420a4aa51a4
15118365505c
hex9dff5a44c

42412123212 has 48 divisors (see below), whose sum is σ = 100826201952. Its totient is φ = 13873484800.

The previous prime is 42412123207. The next prime is 42412123213. The reversal of 42412123212 is 21232121424.

It is a super-3 number, since 3×424121232123 (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42412123213) 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, 17883 + ... + 291794.

It is an arithmetic number, because the mean of its divisors is an integer number (2100545874).

Almost surely, 242412123212 is an apocalyptic number.

It is an amenable number.

42412123212 is an abundant number, since it is smaller than the sum of its proper divisors (58414078740).

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

42412123212 is a wasteful number, since it uses less digits than its factorization.

42412123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309898 (or 309896 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 42412123212 its reverse (21232121424), we get a palindrome (63644244636).

It can be divided in two parts, 4241212 and 3212, that added together give a palindrome (4244424).

The spelling of 42412123212 in words is "forty-two billion, four hundred twelve million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 101 113 202 226 303 339 404 452 606 678 1212 1356 11413 22826 34239 45652 68478 136956 309677 619354 929031 1238708 1858062 3716124 31277377 34993501 62554754 69987002 93832131 104980503 125109508 139974004 187664262 209961006 375328524 419922012 3534343601 7068687202 10603030803 14137374404 21206061606 42412123212