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12023113120 = 25575144457
BaseRepresentation
bin10110011001010001…
…00010010110100000
31011000220121102120221
423030220202112200
5144110404104440
65305013012424
7603641526634
oct131450422640
934026542527
1012023113120
11510a808927
1223b6624114
131197b97c25
14820b16dc4
154a57d8d4a
hex2cca225a0

12023113120 has 24 divisors (see below), whose sum is σ = 28404605124. Its totient is φ = 4809245184.

The previous prime is 12023113093. The next prime is 12023113121. The reversal of 12023113120 is 2131132021.

It can be written as a sum of positive squares in 2 ways, for example, as 11201258896 + 821854224 = 105836^2 + 28668^2 .

It is a super-2 number, since 2×120231131202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12023113094 and 12023113103.

It is not an unprimeable number, because it can be changed into a prime (12023113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37572069 + ... + 37572388.

Almost surely, 212023113120 is an apocalyptic number.

12023113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023113120 is an abundant number, since it is smaller than the sum of its proper divisors (16381492004).

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

12023113120 is an equidigital number, since it uses as much as digits as its factorization.

12023113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75144472 (or 75144464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12023113120 its reverse (2131132021), we get a palindrome (14154245141).

The spelling of 12023113120 in words is "twelve billion, twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 75144457 150288914 300577828 375722285 601155656 751444570 1202311312 1502889140 2404622624 3005778280 6011556560 12023113120