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12466444000000 = 28563116611
BaseRepresentation
bin1011010101101001000111…
…1101110101101100000000
31122010210001220202101201011
42311122101331311230000
53113222234131000000
642303001051450304
72424446050416154
oct265322175655400
948123056671634
1012466444000000
113a76a977028a1
1214940b6a56994
136c577182c853
143115443bd064
15169432b5a2ba
hexb5691f75b00

12466444000000 has 126 divisors (see below), whose sum is σ = 31104850524692. Its totient is φ = 4986576000000.

The previous prime is 12466443999973. The next prime is 12466444000057. The reversal of 12466444000000 is 44466421.

12466444000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2441695 + ... + 5558305.

Almost surely, 212466444000000 is an apocalyptic number.

12466444000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12466444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552425262346).

12466444000000 is an abundant number, since it is smaller than the sum of its proper divisors (18638406524692).

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

12466444000000 is an frugal number, since it uses more digits than its factorization.

12466444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116657 (or 3116618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 12466444000000 its reverse (44466421), we get a palindrome (12466488466421).

The spelling of 12466444000000 in words is "twelve trillion, four hundred sixty-six billion, four hundred forty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 3116611 4000000 6233222 12466444 15583055 24932888 31166110 49865776 62332220 77915275 99731552 124664440 155830550 199463104 249328880 311661100 389576375 398926208 498657760 623322200 779152750 797852416 997315520 1246644400 1558305500 1947881875 1994631040 2493288800 3116611000 3895763750 3989262080 4986577600 6233222000 7791527500 9739409375 9973155200 12466444000 15583055000 19478818750 19946310400 24932888000 31166110000 38957637500 48697046875 49865776000 62332220000 77915275000 97394093750 99731552000 124664440000 155830550000 194788187500 249328880000 311661100000 389576375000 498657760000 623322200000 779152750000 1246644400000 1558305500000 2493288800000 3116611000000 6233222000000 12466444000000