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12135445121 = 1752110971249
BaseRepresentation
bin10110100110101010…
…00011001010000001
31011022201222111010102
423103111003022001
5144323133220441
65324104412145
7606504403322
oct132325031201
934281874112
1012135445121
115168162598
122428177055
1311b5238877
148319d8449
154b05c769b
hex2d3543281

12135445121 has 16 divisors (see below), whose sum is σ = 12896010000. Its totient is φ = 11380162560.

The previous prime is 12135445109. The next prime is 12135445123. The reversal of 12135445121 is 12154453121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 172554496 + 11962890625 = 13136^2 + 109375^2 .

It is a cyclic number.

It is not a de Polignac number, because 12135445121 - 230 = 11061703297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12135445123) 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, 9715505 + ... + 9716753.

It is an arithmetic number, because the mean of its divisors is an integer number (806000625).

Almost surely, 212135445121 is an apocalyptic number.

It is an amenable number.

12135445121 is a deficient number, since it is larger than the sum of its proper divisors (760564879).

12135445121 is a wasteful number, since it uses less digits than its factorization.

12135445121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884.

The product of its digits is 4800, while the sum is 29.

Adding to 12135445121 its reverse (12154453121), we get a palindrome (24289898242).

The spelling of 12135445121 in words is "twelve billion, one hundred thirty-five million, four hundred forty-five thousand, one hundred twenty-one".

Divisors: 1 17 521 1097 1249 8857 18649 21233 571537 650729 1370153 9716129 11062393 23292601 713849713 12135445121