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12230150344000 = 26533121489833
BaseRepresentation
bin1011000111111000110111…
…0001000100110101000000
31121022012011012112221212021
42301332031301010311000
53100334321442002000
642002241542411224
72401412345450041
oct261761561046500
947265135487767
1012230150344000
113995861036776
121456350730b14
136a93b52934a4
14303d2a0828c8
151632032ba11a
hexb1f8dc44d40

12230150344000 has 112 divisors (see below), whose sum is σ = 30297733751376. Its totient is φ = 4890482688000.

The previous prime is 12230150343997. The next prime is 12230150344021. The reversal of 12230150344000 is 44305103221.

It can be written as a sum of positive squares in 8 ways, for example, as 7511940787264 + 4718209556736 = 2740792^2 + 2172144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24723084 + ... + 25212916.

It is an arithmetic number, because the mean of its divisors is an integer number (270515479923).

Almost surely, 212230150344000 is an apocalyptic number.

12230150344000 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 12230150344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148866875688).

12230150344000 is an abundant number, since it is smaller than the sum of its proper divisors (18067583407376).

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

12230150344000 is an equidigital number, since it uses as much as digits as its factorization.

12230150344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492981 (or 492961 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 12230150344000 its reverse (44305103221), we get a palindrome (12274455447221).

The spelling of 12230150344000 in words is "twelve trillion, two hundred thirty billion, one hundred fifty million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 3121 4000 6242 8000 12484 15605 24968 31210 49936 62420 78025 99872 124840 156050 199744 249680 312100 390125 489833 499360 624200 780250 979666 998720 1248400 1560500 1959332 2449165 2496800 3121000 3918664 4898330 4993600 6242000 7837328 9796660 12245825 12484000 15674656 19593320 24491650 24968000 31349312 39186640 48983300 61229125 78373280 97966600 122458250 156746560 195933200 244916500 391866400 489833000 783732800 979666000 1528768793 1959332000 3057537586 3918664000 6115075172 7643843965 12230150344 15287687930 24460300688 30575375860 38219219825 48920601376 61150751720 76438439650 97841202752 122301503440 152876879300 191096099125 244603006880 305753758600 382192198250 489206013760 611507517200 764384396500 1223015034400 1528768793000 2446030068800 3057537586000 6115075172000 12230150344000