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12142322020 = 22519714211069
BaseRepresentation
bin10110100111011110…
…10010000101100100
31011100012220212110101
423103233102011210
5144331413301040
65324512033444
7606620014513
oct132357220544
934305825411
1012142322020
11517102a284
12242a532884
1311b67a5a3a
148328a867a
154b0ed509a
hex2d3bd2164

12142322020 has 96 divisors (see below), whose sum is σ = 27309139200. Its totient is φ = 4521484800.

The previous prime is 12142322009. The next prime is 12142322021. The reversal of 12142322020 is 2022324121.

12142322020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12142322021) 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, 11358046 + ... + 11359114.

It is an arithmetic number, because the mean of its divisors is an integer number (284470200).

Almost surely, 212142322020 is an apocalyptic number.

12142322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654569600).

12142322020 is an abundant number, since it is smaller than the sum of its proper divisors (15166817180).

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

12142322020 is a wasteful number, since it uses less digits than its factorization.

12142322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12142322020 its reverse (2022324121), we get a palindrome (14164646141).

The spelling of 12142322020 in words is "twelve billion, one hundred forty-two million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 421 710 842 1069 1349 1420 1684 2105 2138 2698 4210 4276 5345 5396 6745 7999 8420 10690 13490 15998 20311 21380 26980 29891 31996 39995 40622 59782 75899 79990 81244 101555 119564 149455 151798 159980 203110 298910 303596 379495 406220 450049 567929 597820 758990 900098 1135858 1442081 1517980 1800196 2250245 2271716 2839645 2884162 4500490 5679290 5768324 7210405 8550931 9000980 11358580 14420810 17101862 28841620 31953479 34203724 42754655 63906958 85509310 127813916 159767395 171018620 319534790 607116101 639069580 1214232202 2428464404 3035580505 6071161010 12142322020