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12123122320 = 245151539029
BaseRepresentation
bin10110100101001100…
…00010101010010000
31011021212210102102101
423102212002222100
5144312004403240
65322544330144
7606264560641
oct132246025220
934255712371
1012123122320
115161206261
122424013954
1311b281297a
1483010b6c8
154ae49139a
hex2d2982a90

12123122320 has 20 divisors (see below), whose sum is σ = 28186259580. Its totient is φ = 4849248896.

The previous prime is 12123122299. The next prime is 12123122327. The reversal of 12123122320 is 2322132121.

It can be written as a sum of positive squares in 2 ways, for example, as 5974053264 + 6149069056 = 77292^2 + 78416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (12123122327) 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, 75769435 + ... + 75769594.

It is an arithmetic number, because the mean of its divisors is an integer number (1409312979).

Almost surely, 212123122320 is an apocalyptic number.

12123122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123122320 is an abundant number, since it is smaller than the sum of its proper divisors (16063137260).

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

12123122320 is a wasteful number, since it uses less digits than its factorization.

12123122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151539042 (or 151539036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12123122320 its reverse (2322132121), we get a palindrome (14445254441).

The spelling of 12123122320 in words is "twelve billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151539029 303078058 606156116 757695145 1212312232 1515390290 2424624464 3030780580 6061561160 12123122320