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12420444012 = 22337107261439
BaseRepresentation
bin10111001000101000…
…01110111101101100
31012001121020221002220
423210110032331230
5200414113202022
65412245115340
7616535014014
oct134424167554
935047227086
1012420444012
1152a4020469
1224a76b8b50
13122c2b3672
1485b7c4c44
154ca62185c
hex2e450ef6c

12420444012 has 48 divisors (see below), whose sum is σ = 30042593280. Its totient is φ = 3990589632.

The previous prime is 12420443999. The next prime is 12420444041. The reversal of 12420444012 is 21044402421.

It is a super-2 number, since 2×124204440122 (a number of 21 digits) contains 22 as substring.

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, 83212 + ... + 178227.

It is an arithmetic number, because the mean of its divisors is an integer number (625887360).

Almost surely, 212420444012 is an apocalyptic number.

12420444012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12420444012 is an abundant number, since it is smaller than the sum of its proper divisors (17622149268).

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

12420444012 is a wasteful number, since it uses less digits than its factorization.

12420444012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261590 (or 261588 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12420444012 its reverse (21044402421), we get a palindrome (33464846433).

It can be divided in two parts, 12 and 420444012, that added together give a palindrome (420444024).

The spelling of 12420444012 in words is "twelve billion, four hundred twenty million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 642 1284 3959 7918 11877 15836 23754 47508 261439 522878 784317 1045756 1568634 3137268 9673243 19346486 27973973 29019729 38692972 55947946 58039458 83921919 111895892 116078916 167843838 335687676 1035037001 2070074002 3105111003 4140148004 6210222006 12420444012