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12002012412 = 2231376935977
BaseRepresentation
bin10110010110110000…
…00010110011111100
31010222102220101212020
423023120002303330
5144040003344122
65302540440140
7603264264555
oct131330026374
933872811766
1012002012412
1150a9906625
1223ab549050
1311936ba7c0
1481bdc332c
154a3a1bc5c
hex2cb602cfc

12002012412 has 24 divisors (see below), whose sum is σ = 30158903376. Its totient is φ = 3692926848.

The previous prime is 12002012411. The next prime is 12002012419. The reversal of 12002012412 is 21421020021.

12002012412 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 = 12002012391 and 12002012400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012411) 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, 38467833 + ... + 38468144.

It is an arithmetic number, because the mean of its divisors is an integer number (1256620974).

Almost surely, 212002012412 is an apocalyptic number.

12002012412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002012412 is an abundant number, since it is smaller than the sum of its proper divisors (18156890964).

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

12002012412 is a wasteful number, since it uses less digits than its factorization.

12002012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76935997 (or 76935995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12002012412 its reverse (21421020021), we get a palindrome (33423032433).

The spelling of 12002012412 in words is "twelve billion, two million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 76935977 153871954 230807931 307743908 461615862 923231724 1000167701 2000335402 3000503103 4000670804 6001006206 12002012412