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12224701632 = 26311213172381
BaseRepresentation
bin10110110001010011…
…00010010011000000
31011112221221012001010
423120221202103000
5200014010423012
65341013440520
7611640151353
oct133051422300
934487835033
1012224701632
115203586300
122452040140
1311ca88a280
1483d7d029a
154b8358c3c
hex2d8a624c0

12224701632 has 336 divisors, whose sum is σ = 40556236896. Its totient is φ = 3216998400.

The previous prime is 12224701609. The next prime is 12224701703. The reversal of 12224701632 is 23610742221.

It is a self number, because there is not a number n which added to its sum of digits gives 12224701632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5133082 + ... + 5135462.

It is an arithmetic number, because the mean of its divisors is an integer number (120703086).

Almost surely, 212224701632 is an apocalyptic number.

12224701632 is a gapful number since it is divisible by the number (12) 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 12224701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278118448).

12224701632 is an abundant number, since it is smaller than the sum of its proper divisors (28331535264).

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

12224701632 is a wasteful number, since it uses less digits than its factorization.

12224701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12224701632 in words is "twelve billion, two hundred twenty-four million, seven hundred one thousand, six hundred thirty-two".