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12031333312 = 2610110211823
BaseRepresentation
bin10110011010001111…
…11001001111000000
31011001111002001120111
423031013321033000
5144120010131222
65305505121104
7604101434335
oct131507711700
934044061514
1012031333312
115114412879
1223b9329194
1311997b564b
14821c5698c
154a63ae777
hex2cd1f93c0

12031333312 has 56 divisors (see below), whose sum is σ = 24147914112. Its totient is φ = 5947008000.

The previous prime is 12031333291. The next prime is 12031333333. The reversal of 12031333312 is 21333313021.

12031333312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12031333291) and next prime (12031333333).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 6598833 + ... + 6600655.

It is an arithmetic number, because the mean of its divisors is an integer number (431212752).

Almost surely, 212031333312 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 12031333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073957056).

12031333312 is an abundant number, since it is smaller than the sum of its proper divisors (12116580800).

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

12031333312 is a wasteful number, since it uses less digits than its factorization.

12031333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12031333312 its reverse (21333313021), we get a palindrome (33364646333).

The spelling of 12031333312 in words is "twelve billion, thirty-one million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1021 1616 1823 2042 3232 3646 4084 6464 7292 8168 14584 16336 29168 32672 58336 65344 103121 116672 184123 206242 368246 412484 736492 824968 1472984 1649936 1861283 2945968 3299872 3722566 5891936 6599744 7445132 11783872 14890264 29780528 59561056 119122112 187989583 375979166 751958332 1503916664 3007833328 6015666656 12031333312