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12140204121 = 3213071032067
BaseRepresentation
bin10110100111001110…
…01101000001011001
31011100001221021020200
423103213031001121
5144330343012441
65324354412413
7606563014053
oct132347150131
934301837220
1012140204121
11516a913051
122429891109
1311b6213a46
148324b68d3
154b0c177b6
hex2d39cd059

12140204121 has 12 divisors (see below), whose sum is σ = 17549284272. Its totient is φ = 8087269176.

The previous prime is 12140204119. The next prime is 12140204171.

12140204121 is nontrivially palindromic in base 10.

12140204121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12140204121 - 21 = 12140204119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12140204094 and 12140204103.

It is not an unprimeable number, because it can be changed into a prime (12140204171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504271 + ... + 527796.

It is an arithmetic number, because the mean of its divisors is an integer number (1462440356).

Almost surely, 212140204121 is an apocalyptic number.

It is an amenable number.

12140204121 is a deficient number, since it is larger than the sum of its proper divisors (5409080151).

12140204121 is a wasteful number, since it uses less digits than its factorization.

12140204121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033380 (or 1033377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 12140204121 in words is "twelve billion, one hundred forty million, two hundred four thousand, one hundred twenty-one".

Divisors: 1 3 9 1307 3921 11763 1032067 3096201 9288603 1348911569 4046734707 12140204121