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12002212131 = 371382753161
BaseRepresentation
bin10110010110110001…
…10011100100100011
31010222110021112211020
423023120303210203
5144040031242011
65302545020523
7603266056050
oct131330634443
933873245736
1012002212131
1150a9a32688
1223ab624743
13119375a690
1481c036027
154a3a5b006
hex2cb633923

12002212131 has 32 divisors (see below), whose sum is σ = 19720124928. Its totient is φ = 6323063040.

The previous prime is 12002212129. The next prime is 12002212147. The reversal of 12002212131 is 13121220021.

12002212131 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 12002212131 - 21 = 12002212129 is a prime.

It is a super-2 number, since 2×120022121312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12002212131.

It is not an unprimeable number, because it can be changed into a prime (12002212151) 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 31 ways as a sum of consecutive naturals, for example, 199191 + ... + 252351.

It is an arithmetic number, because the mean of its divisors is an integer number (616253904).

Almost surely, 212002212131 is an apocalyptic number.

12002212131 is a deficient number, since it is larger than the sum of its proper divisors (7717912797).

12002212131 is a wasteful number, since it uses less digits than its factorization.

12002212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54011.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12002212131 its reverse (13121220021), we get a palindrome (25123432152).

The spelling of 12002212131 in words is "twelve billion, two million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 827 2481 5789 10751 17367 32253 53161 75257 159483 225771 372127 691093 1116381 2073279 4837651 14512953 43964147 131892441 307749029 571533911 923247087 1714601733 4000737377 12002212131