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12110200020 = 22325531269413
BaseRepresentation
bin10110100011101001…
…01111110011010100
31011020222110220100200
423101310233303110
5144300202400040
65321403340500
7606050000412
oct132164576324
934228426320
1012110200020
11515498a576
12241b821730
1311acc39c39
1482c5062b2
154ad28c630
hex2d1d2fcd4

12110200020 has 72 divisors (see below), whose sum is σ = 37427402376. Its totient is φ = 3168452352.

The previous prime is 12110199961. The next prime is 12110200021. The reversal of 12110200020 is 2000201121.

It can be written as a sum of positive squares in 4 ways, for example, as 890306244 + 11219893776 = 29838^2 + 105924^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12110199975 and 12110200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110200021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 625167 + ... + 644246.

It is an arithmetic number, because the mean of its divisors is an integer number (519825033).

Almost surely, 212110200020 is an apocalyptic number.

12110200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110200020 is an abundant number, since it is smaller than the sum of its proper divisors (25317202356).

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

12110200020 is a wasteful number, since it uses less digits than its factorization.

12110200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269481 (or 1269476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12110200020 its reverse (2000201121), we get a palindrome (14110401141).

The spelling of 12110200020 in words is "twelve billion, one hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 1269413 2538826 3808239 5077652 6347065 7616478 11424717 12694130 15232956 19041195 22849434 25388260 38082390 45698868 57123585 67278889 76164780 114247170 134557778 201836667 228494340 269115556 336394445 403673334 605510001 672788890 807346668 1009183335 1211020002 1345577780 2018366670 2422040004 3027550005 4036733340 6055100010 12110200020