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12503200000 = 285515629
BaseRepresentation
bin10111010010011111…
…11011000100000000
31012021100222100222111
423221033323010000
5201101304400000
65424402545104
7621561306064
oct135117730400
935240870874
1012503200000
115336804245
12250b368194
13124349a2c5
148687a7aa4
154d2a1bcba
hex2e93fb100

12503200000 has 108 divisors (see below), whose sum is σ = 31196948580. Its totient is φ = 5000960000.

The previous prime is 12503199991. The next prime is 12503200009. The reversal of 12503200000 is 230521.

It is an interprime number because it is at equal distance from previous prime (12503199991) and next prime (12503200009).

It can be written as a sum of positive squares in 6 ways, for example, as 5977145344 + 6526054656 = 77312^2 + 80784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792186 + ... + 807814.

It is an arithmetic number, because the mean of its divisors is an integer number (288860635).

Almost surely, 212503200000 is an apocalyptic number.

12503200000 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 12503200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598474290).

12503200000 is an abundant number, since it is smaller than the sum of its proper divisors (18693748580).

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

12503200000 is an frugal number, since it uses more digits than its factorization.

12503200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15670 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 12503200000 its reverse (230521), we get a palindrome (12503430521).

The spelling of 12503200000 in words is "twelve billion, five hundred three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15629 16000 20000 25000 31258 32000 40000 50000 62516 78145 80000 100000 125032 156290 160000 200000 250064 312580 390725 400000 500128 625160 781450 800000 1000256 1250320 1562900 1953625 2000512 2500640 3125800 3907250 4001024 5001280 6251600 7814500 9768125 10002560 12503200 15629000 19536250 20005120 25006400 31258000 39072500 48840625 50012800 62516000 78145000 97681250 100025600 125032000 156290000 195362500 250064000 312580000 390725000 500128000 625160000 781450000 1250320000 1562900000 2500640000 3125800000 6251600000 12503200000