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12124937344 = 27137286621
BaseRepresentation
bin10110100101011001…
…11101110010000000
31011022000012122011111
423102230331302000
5144312440443334
65323051253104
7606316160362
oct132254756200
934260178144
1012124937344
115162235983
12242474a194
1311b2cc9b50
14830460d32
154ae6ee064
hex2d2b3dc80

12124937344 has 32 divisors (see below), whose sum is σ = 26013240540. Its totient is φ = 5596124160.

The previous prime is 12124937327. The next prime is 12124937351. The reversal of 12124937344 is 44373942121.

It can be written as a sum of positive squares in 2 ways, for example, as 12119367744 + 5569600 = 110088^2 + 2360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12124937297 and 12124937306.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3641647 + ... + 3644974.

Almost surely, 212124937344 is an apocalyptic number.

It is an amenable number.

12124937344 is an abundant number, since it is smaller than the sum of its proper divisors (13888303196).

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

12124937344 is an equidigital number, since it uses as much as digits as its factorization.

12124937344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286648 (or 7286636 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The spelling of 12124937344 in words is "twelve billion, one hundred twenty-four million, nine hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 7286621 14573242 29146484 58292968 94726073 116585936 189452146 233171872 378904292 466343744 757808584 932687488 1515617168 3031234336 6062468672 12124937344