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12712562500 = 2256112412
BaseRepresentation
bin10111101011011101…
…00100111101000100
31012210221221002100011
423311232210331010
5202013404000000
65501242200004
7630012666301
oct136556447504
935727832304
1012712562500
115433a01400
1225694b3004
131277981c41
148885060a8
154e60c52ba
hex2f5ba4f44

12712562500 has 189 divisors, whose sum is σ = 31329931003. Its totient is φ = 4510000000.

The previous prime is 12712562497. The next prime is 12712562519. The reversal of 12712562500 is 526521721.

The square root of 12712562500 is 112750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 3829876996 + 8882685504 = 61886^2 + 94248^2 .

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 310062480 + ... + 310062520.

Almost surely, 212712562500 is an apocalyptic number.

12712562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12712562500 is the 112750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12712562500

12712562500 is an abundant number, since it is smaller than the sum of its proper divisors (18617368503).

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

12712562500 is an frugal number, since it uses more digits than its factorization.

12712562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 12712562500 in words is "twelve billion, seven hundred twelve million, five hundred sixty-two thousand, five hundred".