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12333212032 = 27795212341
BaseRepresentation
bin10110111110001110…
…11110000110000000
31011211112010002022211
423133013132012000
5200224300241112
65355451311504
7614425400251
oct133707360600
934745102284
1012333212032
11525985a819
12248244b594
1312171c05cb
1484dd98b28
154c2b400a7
hex2df1de180

12333212032 has 64 divisors (see below), whose sum is σ = 24939489600. Its totient is φ = 6074265600.

The previous prime is 12333212027. The next prime is 12333212063. The reversal of 12333212032 is 23021233321.

12333212032 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 12333211994 and 12333212012.

It is a congruent number.

It is an unprimeable number.

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, 5267182 + ... + 5269522.

It is an arithmetic number, because the mean of its divisors is an integer number (389679525).

Almost surely, 212333212032 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 12333212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469744800).

12333212032 is an abundant number, since it is smaller than the sum of its proper divisors (12606277568).

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

12333212032 is an equidigital number, since it uses as much as digits as its factorization.

12333212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12333212032 its reverse (23021233321), we get a palindrome (35354445353).

The spelling of 12333212032 in words is "twelve billion, three hundred thirty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 521 632 1042 1264 2084 2341 2528 4168 4682 5056 8336 9364 10112 16672 18728 33344 37456 41159 66688 74912 82318 149824 164636 184939 299648 329272 369878 658544 739756 1219661 1317088 1479512 2439322 2634176 2959024 4878644 5268352 5918048 9757288 11836096 19514576 23672192 39029152 78058304 96353219 156116608 192706438 385412876 770825752 1541651504 3083303008 6166606016 12333212032