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12132142022 = 271113792971
BaseRepresentation
bin10110100110010000…
…11100101111000110
31011022111202200010102
423103020130233012
5144321312021042
65323505524102
7606434335310
oct132310345706
934274680112
1012132142022
115166306960
122427043632
1311b4650280
148313b87b0
154b0173b32
hex2d321cbc6

12132142022 has 96 divisors (see below), whose sum is σ = 24772656384. Its totient is φ = 4303540800.

The previous prime is 12132142003. The next prime is 12132142027. The reversal of 12132142022 is 22024123121.

12132142022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132141985 and 12132142003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132142027) 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 47 ways as a sum of consecutive naturals, for example, 12493997 + ... + 12494967.

It is an arithmetic number, because the mean of its divisors is an integer number (258048504).

Almost surely, 212132142022 is an apocalyptic number.

12132142022 is an abundant number, since it is smaller than the sum of its proper divisors (12640514362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12132142022 is a wasteful number, since it uses less digits than its factorization.

12132142022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12132142022 its reverse (22024123121), we get a palindrome (34156265143).

The spelling of 12132142022 in words is "twelve billion, one hundred thirty-two million, one hundred forty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 79 91 143 154 158 182 286 553 869 971 1001 1027 1106 1738 1942 2002 2054 6083 6241 6797 7189 10681 11297 12166 12482 12623 13594 14378 21362 22594 25246 43687 68651 74767 76709 79079 81133 87374 88361 137302 138853 149534 153418 158158 162266 176722 277706 480557 536963 567931 843799 892463 961114 971971 997217 1073926 1135862 1687598 1784926 1943942 1994434 5906593 6060011 6247241 6980519 10969387 11813186 12120022 12494482 13961038 21938774 42420077 66660121 76785709 78780143 84840154 133320242 153571418 157560286 466620847 551461001 866581573 933241694 1102922002 1733163146 6066071011 12132142022