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12123033312 = 253139713969
BaseRepresentation
bin10110100101001011…
…01100111011100000
31011021212121220022210
423102211230323200
5144311444031222
65322542402120
7606264040305
oct132245547340
934255556283
1012123033312
1151611553a5
122423b90340
1311b27b12c0
148300c70ac
154ae474d0c
hex2d296cee0

12123033312 has 48 divisors (see below), whose sum is σ = 34270886160. Its totient is φ = 3730163712.

The previous prime is 12123033289. The next prime is 12123033317. The reversal of 12123033312 is 21333032121.

12123033312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123033317) 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 7 ways as a sum of consecutive naturals, for example, 4855737 + ... + 4858232.

It is an arithmetic number, because the mean of its divisors is an integer number (713976795).

Almost surely, 212123033312 is an apocalyptic number.

12123033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123033312 is an abundant number, since it is smaller than the sum of its proper divisors (22147852848).

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

12123033312 is a wasteful number, since it uses less digits than its factorization.

12123033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713995 (or 9713987 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12123033312 its reverse (21333032121), we get a palindrome (33456065433).

The spelling of 12123033312 in words is "twelve billion, one hundred twenty-three million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9713969 19427938 29141907 38855876 58283814 77711752 116567628 126281597 155423504 233135256 252563194 310847008 378844791 466270512 505126388 757689582 932541024 1010252776 1515379164 2020505552 3030758328 4041011104 6061516656 12123033312