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12002012028 = 223512347749
BaseRepresentation
bin10110010110110000…
…00010101101111100
31010222102220101100000
423023120002231330
5144040003341103
65302540434300
7603264263466
oct131330025574
933872811300
1012002012028
1150a9906306
1223ab548990
1311936ba586
1481bdc3136
154a3a1baa3
hex2cb602b7c

12002012028 has 36 divisors (see below), whose sum is σ = 31462067000. Its totient is φ = 4000670352.

The previous prime is 12002012027. The next prime is 12002012039. The reversal of 12002012028 is 82021020021.

It is a happy number.

12002012028 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12002012028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012027) 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 11 ways as a sum of consecutive naturals, for example, 6172903 + ... + 6174846.

Almost surely, 212002012028 is an apocalyptic number.

12002012028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12002012028 is an abundant number, since it is smaller than the sum of its proper divisors (19460054972).

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

12002012028 is a wasteful number, since it uses less digits than its factorization.

12002012028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12347768 (or 12347754 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002012028 its reverse (82021020021), we get a palindrome (94023032049).

The spelling of 12002012028 in words is "twelve billion, two million, twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 12347749 24695498 37043247 49390996 74086494 111129741 148172988 222259482 333389223 444518964 666778446 1000167669 1333556892 2000335338 3000503007 4000670676 6001006014 12002012028