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12006210501 = 347313714821
BaseRepresentation
bin10110010111010000…
…00011101111000101
31010222201210200120000
423023220003233011
5144042042214001
65303210431513
7603345051105
oct131350035705
933881720500
1012006210501
11510121371a
1223b0a32599
13119452a58c
1481c797205
154a409aa86
hex2cba03bc5

12006210501 has 40 divisors (see below), whose sum is σ = 18314833944. Its totient is φ = 7836341760.

The previous prime is 12006210499. The next prime is 12006210521. The reversal of 12006210501 is 10501260021.

12006210501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2178462276 + 9827748225 = 46674^2 + 99135^2 .

It is not a de Polignac number, because 12006210501 - 21 = 12006210499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006210521) 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 39 ways as a sum of consecutive naturals, for example, 802671 + ... + 817491.

Almost surely, 212006210501 is an apocalyptic number.

It is an amenable number.

12006210501 is a deficient number, since it is larger than the sum of its proper divisors (6308623443).

12006210501 is a wasteful number, since it uses less digits than its factorization.

12006210501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12006210501 its reverse (10501260021), we get a palindrome (22507470522).

The spelling of 12006210501 in words is "twelve billion, six million, two hundred ten thousand, five hundred one".

Divisors: 1 3 9 27 73 81 137 219 411 657 1233 1971 3699 5913 10001 11097 14821 30003 44463 90009 133389 270027 400167 810081 1081933 1200501 2030477 3245799 6091431 9737397 18274293 29212191 54822879 87636573 148224821 164468637 444674463 1334023389 4002070167 12006210501