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12130240400 = 245261497141
BaseRepresentation
bin10110100110000010…
…01100011110010000
31011022101012001120222
423103001030132100
5144320320143100
65323401052212
7606412225235
oct132301143620
934271161528
1012130240400
115165228173
122426487068
1311b4135855
1483104178c
154aedea485
hex2d304c790

12130240400 has 60 divisors (see below), whose sum is σ = 29620714644. Its totient is φ = 4772544000.

The previous prime is 12130240307. The next prime is 12130240427. The reversal of 12130240400 is 404203121.

It can be written as a sum of positive squares in 6 ways, for example, as 1230045184 + 10900195216 = 35072^2 + 104404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224171 + ... + 272970.

Almost surely, 212130240400 is an apocalyptic number.

12130240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130240400 is an abundant number, since it is smaller than the sum of its proper divisors (17490474244).

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

12130240400 is a wasteful number, since it uses less digits than its factorization.

12130240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497220 (or 497209 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12130240400 its reverse (404203121), we get a palindrome (12534443521).

The spelling of 12130240400 in words is "twelve billion, one hundred thirty million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6100 12200 24400 497141 994282 1988564 2485705 3977128 4971410 7954256 9942820 12428525 19885640 24857050 30325601 39771280 49714100 60651202 99428200 121302404 151628005 198856400 242604808 303256010 485209616 606512020 758140025 1213024040 1516280050 2426048080 3032560100 6065120200 12130240400