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12225660500 = 2253172949597
BaseRepresentation
bin10110110001011010…
…01100011001010100
31011120000201220100202
423120231030121110
5200014232114000
65341050200032
7611651254034
oct133055143124
934500656322
1012225660500
115204080759
122452423018
1311cab34851
1483d99d8c4
154b8497dd5
hex2d8b4c654

12225660500 has 96 divisors (see below), whose sum is σ = 29246948640. Its totient is φ = 4443801600.

The previous prime is 12225660487. The next prime is 12225660527. The reversal of 12225660500 is 506652221.

It can be written as a sum of positive squares in 16 ways, for example, as 9901842064 + 2323818436 = 99508^2 + 48206^2 .

It is a super-2 number, since 2×122256605002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221702 + ... + 271298.

It is an arithmetic number, because the mean of its divisors is an integer number (304655715).

Almost surely, 212225660500 is an apocalyptic number.

12225660500 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 12225660500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623474320).

12225660500 is an abundant number, since it is smaller than the sum of its proper divisors (17021288140).

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

12225660500 is a wasteful number, since it uses less digits than its factorization.

12225660500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49662 (or 49650 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 12225660500 in words is "twelve billion, two hundred twenty-five million, six hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 125 145 170 250 290 340 425 493 500 580 725 850 986 1450 1700 1972 2125 2465 2900 3625 4250 4930 7250 8500 9860 12325 14500 24650 49300 49597 61625 99194 123250 198388 246500 247985 495970 843149 991940 1239925 1438313 1686298 2479850 2876626 3372596 4215745 4959700 5753252 6199625 7191565 8431490 12399250 14383130 16862980 21078725 24451321 24798500 28766260 35957825 42157450 48902642 71915650 84314900 97805284 105393625 122256605 143831300 179789125 210787250 244513210 359578250 421574500 489026420 611283025 719156500 1222566050 2445132100 3056415125 6112830250 12225660500