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12131333000 = 235366118353
BaseRepresentation
bin10110100110001010…
…10111001110001000
31011022110020120100122
423103011113032020
5144321110124000
65323440322412
7606424425533
oct132305271610
934273216318
1012131333000
115165904046
122426913408
1311b4428c67
14831247a1a
154b0064085
hex2d3157388

12131333000 has 64 divisors (see below), whose sum is σ = 28431814320. Its totient is φ = 4844928000.

The previous prime is 12131332999. The next prime is 12131333017. The reversal of 12131333000 is 33313121.

It can be written as a sum of positive squares in 8 ways, for example, as 6240004 + 12125092996 = 2498^2 + 110114^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12131333000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651824 + ... + 670176.

Almost surely, 212131333000 is an apocalyptic number.

12131333000 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 12131333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215907160).

12131333000 is an abundant number, since it is smaller than the sum of its proper divisors (16300481320).

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

12131333000 is a wasteful number, since it uses less digits than its factorization.

12131333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19035 (or 19021 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12131333000 its reverse (33313121), we get a palindrome (12164646121).

The spelling of 12131333000 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 661 1000 1322 2644 3305 5288 6610 13220 16525 18353 26440 33050 36706 66100 73412 82625 91765 132200 146824 165250 183530 330500 367060 458825 661000 734120 917650 1835300 2294125 3670600 4588250 9176500 12131333 18353000 24262666 48525332 60656665 97050664 121313330 242626660 303283325 485253320 606566650 1213133300 1516416625 2426266600 3032833250 6065666500 12131333000