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1122412100000 = 255511224121
BaseRepresentation
bin10000010101010100111…
…110010111100110100000
310222022010211101102010112
4100111110332113212200
5121342144444200000
62215343510350452
7144043263301652
oct20252476274640
93868124342115
101122412100000
113a3015407494
1216164565b428
1381ac61171c9
143c479c7c6d2
151e2e3383235
hex10554f979a0

1122412100000 has 72 divisors (see below), whose sum is σ = 2762009493516. Its totient is φ = 448964800000.

The previous prime is 1122412099999. The next prime is 1122412100003. The reversal of 1122412100000 is 12142211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 153203353744 + 969208746256 = 391412^2 + 984484^2 .

It is a super-3 number, since 3×11224121000003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122412100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5512061 + ... + 5712060.

Almost surely, 21122412100000 is an apocalyptic number.

1122412100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122412100000 is an abundant number, since it is smaller than the sum of its proper divisors (1639597393516).

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

1122412100000 is an frugal number, since it uses more digits than its factorization.

1122412100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224156 (or 11224128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1122412100000 its reverse (12142211), we get a palindrome (1122424242211).

The spelling of 1122412100000 in words is "one trillion, one hundred twenty-two billion, four hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 11224121 22448242 44896484 56120605 89792968 112241210 179585936 224482420 280603025 359171872 448964840 561206050 897929680 1122412100 1403015125 1795859360 2244824200 2806030250 4489648400 5612060500 7015075625 8979296800 11224121000 14030151250 22448242000 28060302500 35075378125 44896484000 56120605000 70150756250 112241210000 140301512500 224482420000 280603025000 561206050000 1122412100000