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12142441120 = 25575890257
BaseRepresentation
bin10110100111011111…
…01111001010100000
31011100020010220211111
423103233233022200
5144331431103440
65324514353104
7606621021655
oct132357571240
934306126744
1012142441120
115171100807
12242a58b794
1311b6818004
148328d9c2c
154b100a4ea
hex2d3bef2a0

12142441120 has 24 divisors (see below), whose sum is σ = 28686517524. Its totient is φ = 4856976384.

The previous prime is 12142441111. The next prime is 12142441123. The reversal of 12142441120 is 2114424121.

It can be written as a sum of positive squares in 2 ways, for example, as 11628602896 + 513838224 = 107836^2 + 22668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12142441091 and 12142441100.

It is not an unprimeable number, because it can be changed into a prime (12142441123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37944969 + ... + 37945288.

Almost surely, 212142441120 is an apocalyptic number.

12142441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142441120 is an abundant number, since it is smaller than the sum of its proper divisors (16544076404).

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

12142441120 is an equidigital number, since it uses as much as digits as its factorization.

12142441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75890272 (or 75890264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12142441120 its reverse (2114424121), we get a palindrome (14256865241).

The spelling of 12142441120 in words is "twelve billion, one hundred forty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 75890257 151780514 303561028 379451285 607122056 758902570 1214244112 1517805140 2428488224 3035610280 6071220560 12142441120