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12123012001 = 173760132069
BaseRepresentation
bin10110100101001011…
…00111101110100001
31011021212120211002111
423102211213232201
5144311442341001
65322542115321
7606263621212
oct132245475641
934255524074
1012123012001
115161140391
122423b7bb41
1311b27a46a9
148300bd409
154ae46d851
hex2d2967ba1

12123012001 has 16 divisors (see below), whose sum is σ = 13205399760. Its totient is φ = 11082700800.

The previous prime is 12123011941. The next prime is 12123012007. The reversal of 12123012001 is 10021032121.

It can be written as a sum of positive squares in 8 ways, for example, as 5529409600 + 6593602401 = 74360^2 + 81201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123012001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361995 + ... + 394063.

It is an arithmetic number, because the mean of its divisors is an integer number (825337485).

Almost surely, 212123012001 is an apocalyptic number.

It is an amenable number.

12123012001 is a deficient number, since it is larger than the sum of its proper divisors (1082387759).

12123012001 is a wasteful number, since it uses less digits than its factorization.

12123012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32724.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12123012001 its reverse (10021032121), we get a palindrome (22144044122).

The spelling of 12123012001 in words is "twelve billion, one hundred twenty-three million, twelve thousand, one".

Divisors: 1 17 37 601 629 10217 22237 32069 378029 545173 1186553 19273469 20171401 327648973 713118353 12123012001