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12002112312 = 2331672994539
BaseRepresentation
bin10110010110110000…
…11011001100111000
31010222110002110220020
423023120123030320
5144040020043222
65302542530440
7603265162041
oct131330331470
933873073806
1012002112312
1150a9974693
1223ab596a20
131193724108
1481c00b8c8
154a3a3b65c
hex2cb61b338

12002112312 has 32 divisors (see below), whose sum is σ = 30184963200. Its totient is φ = 3976746464.

The previous prime is 12002112307. The next prime is 12002112341. The reversal of 12002112312 is 21321120021.

12002112312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12002112291 and 12002112300.

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, 1493262 + ... + 1501277.

It is an arithmetic number, because the mean of its divisors is an integer number (943280100).

Almost surely, 212002112312 is an apocalyptic number.

12002112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002112312 is an abundant number, since it is smaller than the sum of its proper divisors (18182850888).

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

12002112312 is a wasteful number, since it uses less digits than its factorization.

12002112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994715 (or 2994711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12002112312 its reverse (21321120021), we get a palindrome (33323232333).

The spelling of 12002112312 in words is "twelve billion, two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 167 334 501 668 1002 1336 2004 4008 2994539 5989078 8983617 11978156 17967234 23956312 35934468 71868936 500088013 1000176026 1500264039 2000352052 3000528078 4000704104 6001056156 12002112312