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12211313440 = 25576320709
BaseRepresentation
bin10110101111101100…
…11101101100100000
31011112000201222220011
423113312131230200
5200002044012230
65335414454304
7611415310624
oct132766355440
934460658804
1012211313440
1151a6a71587
122449664394
1311c7b80471
1483bb07184
154b70b1e2a
hex2d7d9db20

12211313440 has 24 divisors (see below), whose sum is σ = 28849228380. Its totient is φ = 4884525312.

The previous prime is 12211313437. The next prime is 12211313461. The reversal of 12211313440 is 4431311221.

It can be written as a sum of positive squares in 2 ways, for example, as 11635505424 + 575808016 = 107868^2 + 23996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38160195 + ... + 38160514.

Almost surely, 212211313440 is an apocalyptic number.

12211313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211313440 is an abundant number, since it is smaller than the sum of its proper divisors (16637914940).

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

12211313440 is an equidigital number, since it uses as much as digits as its factorization.

12211313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76320724 (or 76320716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12211313440 its reverse (4431311221), we get a palindrome (16642624661).

The spelling of 12211313440 in words is "twelve billion, two hundred eleven million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76320709 152641418 305282836 381603545 610565672 763207090 1221131344 1526414180 2442262688 3052828360 6105656720 12211313440