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12383238400 = 28521321072
BaseRepresentation
bin10111000100001100…
…10011100100000000
31011222000020200121021
423202012103210000
5200330102112100
65404435435224
7615603534601
oct134206234400
934860220537
1012383238400
115285019325
122497155b14
131224687a00
1485689bda8
154c7222a1a
hex2e2193900

12383238400 has 243 divisors, whose sum is σ = 33502621971. Its totient is φ = 4529541120.

The previous prime is 12383238389. The next prime is 12383238443. The reversal of 12383238400 is 483238321.

The square root of 12383238400 is 111280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3191798016 + 9191440384 = 56496^2 + 95872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115731147 + ... + 115731253.

Almost surely, 212383238400 is an apocalyptic number.

12383238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12383238400 is the 111280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12383238400

12383238400 is an abundant number, since it is smaller than the sum of its proper divisors (21119383571).

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

12383238400 is an equidigital number, since it uses as much as digits as its factorization.

12383238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 12383238400 in words is "twelve billion, three hundred eighty-three million, two hundred thirty-eight thousand, four hundred".