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12450215200 = 2552172333929
BaseRepresentation
bin10111001100001011…
…10011010100100000
31012010200021110111111
423212011303110200
5200444223341300
65415231153104
7620346040333
oct134605632440
935120243444
1012450215200
115309904a55
1224b5675794
131235508457
1486173461a
154cd0529ba
hex2e6173520

12450215200 has 144 divisors (see below), whose sum is σ = 32328321480. Its totient is φ = 4665835520.

The previous prime is 12450215111. The next prime is 12450215203. The reversal of 12450215200 is 251205421.

It can be written as a sum of positive squares in 12 ways, for example, as 19749136 + 12430466064 = 4444^2 + 111492^2 .

It is a super-2 number, since 2×124502152002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12450215203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166836 + ... + 3170764.

Almost surely, 212450215200 is an apocalyptic number.

12450215200 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 12450215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164160740).

12450215200 is an abundant number, since it is smaller than the sum of its proper divisors (19878106280).

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

12450215200 is a wasteful number, since it uses less digits than its factorization.

12450215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 12450215200 in words is "twelve billion, four hundred fifty million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 233 272 340 400 425 466 544 680 800 850 932 1165 1360 1700 1864 2330 2720 3400 3728 3929 3961 4660 5825 6800 7456 7858 7922 9320 11650 13600 15716 15844 18640 19645 19805 23300 31432 31688 37280 39290 39610 46600 62864 63376 66793 78580 79220 93200 98225 99025 125728 126752 133586 157160 158440 186400 196450 198050 267172 314320 316880 333965 392900 396100 534344 628640 633760 667930 785800 792200 915457 1068688 1335860 1571600 1584400 1669825 1830914 2137376 2671720 3143200 3168800 3339650 3661828 4577285 5343440 6679300 7323656 9154570 10686880 13358600 14647312 15562769 18309140 22886425 26717200 29294624 31125538 36618280 45772850 53434400 62251076 73236560 77813845 91545700 124502152 146473120 155627690 183091400 249004304 311255380 366182800 389069225 498008608 622510760 732365600 778138450 1245021520 1556276900 2490043040 3112553800 6225107600 12450215200