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12142212124 = 22717191342571
BaseRepresentation
bin10110100111011101…
…10111010000011100
31011100012201021201011
423103232313100130
5144331401241444
65324505425004
7606616046230
oct132356672034
934305637634
1012142212124
115170a64759
12242a49b164
1311b6767a03
1483287a5c0
154b0eb2734
hex2d3bb741c

12142212124 has 48 divisors (see below), whose sum is σ = 27066251520. Its totient is φ = 4639921920.

The previous prime is 12142212079. The next prime is 12142212169. The reversal of 12142212124 is 42121224121.

It is an interprime number because it is at equal distance from previous prime (12142212079) and next prime (12142212169).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12142212095 and 12142212104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662242 + ... + 680329.

It is an arithmetic number, because the mean of its divisors is an integer number (563880240).

Almost surely, 212142212124 is an apocalyptic number.

12142212124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12142212124 is an abundant number, since it is smaller than the sum of its proper divisors (14924039396).

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

12142212124 is a wasteful number, since it uses less digits than its factorization.

12142212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342618 (or 1342616 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

Adding to 12142212124 its reverse (42121224121), we get a palindrome (54263436245).

The spelling of 12142212124 in words is "twelve billion, one hundred forty-two million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 1342571 2685142 5370284 9397997 18795994 22823707 25508849 37591988 45647414 51017698 91294828 102035396 159765949 178561943 319531898 357123886 433650433 639063796 714247772 867300866 1734601732 3035553031 6071106062 12142212124