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12132142420 = 225606607121
BaseRepresentation
bin10110100110010000…
…11100110101010100
31011022111202200200011
423103020130311110
5144321312024140
65323505530004
7606434336416
oct132310346524
934274680604
1012132142420
115166307192
122427043904
1311b46504c8
148313b89b6
154b0173cea
hex2d321cd54

12132142420 has 12 divisors (see below), whose sum is σ = 25477499124. Its totient is φ = 4852856960.

The previous prime is 12132142411. The next prime is 12132142427. The reversal of 12132142420 is 2424123121.

It can be written as a sum of positive squares in 2 ways, for example, as 9030320784 + 3101821636 = 95028^2 + 55694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12132142391 and 12132142400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132142427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303303541 + ... + 303303580.

It is an arithmetic number, because the mean of its divisors is an integer number (2123124927).

Almost surely, 212132142420 is an apocalyptic number.

12132142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132142420 is an abundant number, since it is smaller than the sum of its proper divisors (13345356704).

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

12132142420 is a wasteful number, since it uses less digits than its factorization.

12132142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606607130 (or 606607128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12132142420 its reverse (2424123121), we get a palindrome (14556265541).

The spelling of 12132142420 in words is "twelve billion, one hundred thirty-two million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 606607121 1213214242 2426428484 3033035605 6066071210 12132142420