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12505400320 = 21057348923
BaseRepresentation
bin10111010010110000…
…10100010000000000
31012021112010011020211
423221120110100000
5201102340302240
65424522043504
7621616102030
oct135130242000
935245104224
1012505400320
115337a77396
122510049594
131243a8a97a
14868bbb8c0
154d2d03bea
hex2e9614400

12505400320 has 88 divisors (see below), whose sum is σ = 34283876544. Its totient is φ = 4287553536.

The previous prime is 12505400293. The next prime is 12505400339. The reversal of 12505400320 is 2300450521.

It is a super-2 number, since 2×125054003202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12505400291 and 12505400300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138622 + ... + 210301.

Almost surely, 212505400320 is an apocalyptic number.

12505400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12505400320 is an abundant number, since it is smaller than the sum of its proper divisors (21778476224).

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

12505400320 is an equidigital number, since it uses as much as digits as its factorization.

12505400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348955 (or 348937 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 12505400320 its reverse (2300450521), we get a palindrome (14805850841).

The spelling of 12505400320 in words is "twelve billion, five hundred five million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 348923 697846 1395692 1744615 2442461 2791384 3489230 4884922 5582768 6978460 9769844 11165536 12212305 13956920 19539688 22331072 24424610 27913840 39079376 44662144 48849220 55827680 78158752 89324288 97698440 111655360 156317504 178648576 195396880 223310720 312635008 357297152 390793760 446621440 625270016 781587520 893242880 1250540032 1563175040 1786485760 2501080064 3126350080 6252700160 12505400320