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12412333304 = 2375314712843
BaseRepresentation
bin10111000111101010…
…10010110011111000
31012001000222212022022
423203311102303320
5200410024131204
65411355214012
7616406043440
oct134365226370
935030885268
1012412333304
11529a4907a8
1224a4a47308
13122a703a27
1485a6b3120
154c9a6d5be
hex2e3d52cf8

12412333304 has 64 divisors (see below), whose sum is σ = 27127664640. Its totient is φ = 5213819520.

The previous prime is 12412333237. The next prime is 12412333313. The reversal of 12412333304 is 40333321421.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4364507 + ... + 4367349.

It is an arithmetic number, because the mean of its divisors is an integer number (423869760).

Almost surely, 212412333304 is an apocalyptic number.

12412333304 is a gapful number since it is divisible by the number (14) 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 12412333304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563832320).

12412333304 is an abundant number, since it is smaller than the sum of its proper divisors (14715331336).

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

12412333304 is a wasteful number, since it uses less digits than its factorization.

12412333304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 12412333304 its reverse (40333321421), we get a palindrome (52745654725).

The spelling of 12412333304 in words is "twelve billion, four hundred twelve million, three hundred thirty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1471 1484 2843 2942 2968 5686 5884 10297 11372 11768 19901 20594 22744 39802 41188 77963 79604 82376 150679 155926 159208 301358 311852 545741 602716 623704 1054753 1091482 1205432 2109506 2182964 4182053 4219012 4365928 8364106 8438024 16728212 29274371 33456424 58548742 117097484 221648809 234194968 443297618 886595236 1551541663 1773190472 3103083326 6206166652 12412333304