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12023132112 = 2432101826673
BaseRepresentation
bin10110011001010001…
…00110111111010000
31011000220122101122100
423030220212333100
5144110410211422
65305013240400
7603641636205
oct131450467720
934026571570
1012023132112
11510a821122
1223b6633100
131197ba3774
14820b1dcac
154a57de7ac
hex2cca26fd0

12023132112 has 60 divisors (see below), whose sum is σ = 33981261444. Its totient is φ = 3968025600.

The previous prime is 12023132083. The next prime is 12023132117. The reversal of 12023132112 is 21123132021.

12023132112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11749692816 + 273439296 = 108396^2 + 16536^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023132117) 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, 398793 + ... + 427880.

Almost surely, 212023132112 is an apocalyptic number.

12023132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12023132112 is an abundant number, since it is smaller than the sum of its proper divisors (21958129332).

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

12023132112 is a wasteful number, since it uses less digits than its factorization.

12023132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826788 (or 826779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12023132112 its reverse (21123132021), we get a palindrome (33146264133).

Subtracting 12023132112 from its reverse (21123132021), we obtain a palindrome (9099999909).

The spelling of 12023132112 in words is "twelve billion, twenty-three million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 826673 1653346 2480019 3306692 4960038 6613384 7440057 9920076 13226768 14880114 19840152 29760228 39680304 59520456 83493973 119040912 166987946 250481919 333975892 500963838 667951784 751445757 1001927676 1335903568 1502891514 2003855352 3005783028 4007710704 6011566056 12023132112