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1242050224000 = 2753109371023
BaseRepresentation
bin10010000100101111111…
…101100101111110000000
311101201221121121211002011
4102010233331211332000
5130322204324132000
62350331234502304
7155510106465205
oct22045775457600
94351847554064
101242050224000
11439828a75833
12180874134994
139018134a961
1444189105cac
15224966a62ba
hex1212ff65f80

1242050224000 has 128 divisors (see below), whose sum is σ = 3090916183680. Its totient is φ = 496358553600.

The previous prime is 1242050223991. The next prime is 1242050224003. The reversal of 1242050224000 is 4220502421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242050224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17452489 + ... + 17523511.

It is an arithmetic number, because the mean of its divisors is an integer number (24147782685).

Almost surely, 21242050224000 is an apocalyptic number.

1242050224000 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 1242050224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545458091840).

1242050224000 is an abundant number, since it is smaller than the sum of its proper divisors (1848865959680).

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

1242050224000 is an equidigital number, since it uses as much as digits as its factorization.

1242050224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72145 (or 72123 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 1242050224000 its reverse (4220502421), we get a palindrome (1246270726421).

The spelling of 1242050224000 in words is "one trillion, two hundred forty-two billion, fifty million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1093 1600 2000 2186 3200 4000 4372 5465 8000 8744 10930 16000 17488 21860 27325 34976 43720 54650 69952 71023 87440 109300 136625 139904 142046 174880 218600 273250 284092 349760 355115 437200 546500 568184 699520 710230 874400 1093000 1136368 1420460 1748800 1775575 2186000 2272736 2840920 3497600 3551150 4372000 4545472 5681840 7102300 8744000 8877875 9090944 11363680 14204600 17488000 17755750 22727360 28409200 35511500 45454720 56818400 71023000 77628139 113636800 142046000 155256278 227273600 284092000 310512556 388140695 568184000 621025112 776281390 1136368000 1242050224 1552562780 1940703475 2484100448 3105125560 3881406950 4968200896 6210251120 7762813900 9703517375 9936401792 12420502240 15525627800 19407034750 24841004480 31051255600 38814069500 49682008960 62102511200 77628139000 124205022400 155256278000 248410044800 310512556000 621025112000 1242050224000