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12300016232 = 237794336421
BaseRepresentation
bin10110111010010001…
…10101101001101000
31011202012122120020202
423131020311221220
5200142301004412
65352304011332
7613543261430
oct133510655150
934665576222
1012300016232
115242047279
122473300b48
131210369b1a
148497d72c0
154bec843c2
hex2dd235a68

12300016232 has 64 divisors (see below), whose sum is σ = 26756620800. Its totient is φ = 5191879680.

The previous prime is 12300016207. The next prime is 12300016237. The reversal of 12300016232 is 23261000321.

It is a happy number.

12300016232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12300016237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1912382 + ... + 1918802.

It is an arithmetic number, because the mean of its divisors is an integer number (418072200).

Almost surely, 212300016232 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 12300016232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378310400).

12300016232 is an abundant number, since it is smaller than the sum of its proper divisors (14456604568).

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

12300016232 is a wasteful number, since it uses less digits than its factorization.

12300016232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12300016232 its reverse (23261000321), we get a palindrome (35561016553).

The spelling of 12300016232 in words is "twelve billion, three hundred million, sixteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 433 553 632 866 1106 1732 2212 3031 3464 4424 6062 6421 12124 12842 24248 25684 34207 44947 51368 68414 89894 136828 179788 239449 273656 359576 478898 507259 957796 1014518 1915592 2029036 2780293 3550813 4058072 5560586 7101626 11121172 14203252 19462051 22242344 28406504 38924102 77848204 155696408 219643147 439286294 878572588 1537502029 1757145176 3075004058 6150008116 12300016232