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12131021200 = 24521961137191
BaseRepresentation
bin10110100110001000…
…01011000110010000
31011022102122201122111
423103010023012100
5144321020134300
65323425515104
7606421656514
oct132304130620
934272581574
1012131021200
115165710861
1224267a2a94
1311b434a06c
148311a6144
154b00019ba
hex2d310b190

12131021200 has 240 divisors, whose sum is σ = 31573693440. Its totient is φ = 4465152000.

The previous prime is 12131021179. The next prime is 12131021263. The reversal of 12131021200 is 212013121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63513105 + ... + 63513295.

It is an arithmetic number, because the mean of its divisors is an integer number (131557056).

Almost surely, 212131021200 is an apocalyptic number.

12131021200 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 12131021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786846720).

12131021200 is an abundant number, since it is smaller than the sum of its proper divisors (19442672240).

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

12131021200 is a wasteful number, since it uses less digits than its factorization.

12131021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12131021200 its reverse (212013121), we get a palindrome (12343034321).

The spelling of 12131021200 in words is "twelve billion, one hundred thirty-one million, twenty-one thousand, two hundred".