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12420210512 = 2431239104773
BaseRepresentation
bin10111001000100110…
…10101111101010000
31012001120211001210202
423210103111331100
5200414033214022
65412240114332
7616533022163
oct134423257520
935046731722
1012420210512
1152a3980a96
1224a76059a8
13122c2312b8
1485b763ada
154ca5c7592
hex2e44d5f50

12420210512 has 40 divisors (see below), whose sum is σ = 24944593920. Its totient is φ = 5984576640.

The previous prime is 12420210469. The next prime is 12420210533. The reversal of 12420210512 is 21501202421.

12420210512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 66158 + ... + 170930.

It is an arithmetic number, because the mean of its divisors is an integer number (623614848).

Almost surely, 212420210512 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 12420210512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472296960).

12420210512 is an abundant number, since it is smaller than the sum of its proper divisors (12524383408).

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

12420210512 is a wasteful number, since it uses less digits than its factorization.

12420210512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105051 (or 105045 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 12420210512 its reverse (21501202421), we get a palindrome (33921412933).

The spelling of 12420210512 in words is "twelve billion, four hundred twenty million, two hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 239 248 478 496 956 1912 3824 7409 14818 29636 59272 104773 118544 209546 419092 838184 1676368 3247963 6495926 12991852 25040747 25983704 50081494 51967408 100162988 200325976 400651952 776263157 1552526314 3105052628 6210105256 12420210512