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121101101120 = 265973901453
BaseRepresentation
bin111000011001000110…
…0000010100001000000
3102120120202002100021102
41300302030002201000
53441003340213440
6131344424513532
711514666242516
oct1606214024100
9376522070242
10121101101120
11473a446174a
121b57861b8a8
13b55c3622ac
145c0b6904b6
15323b9a7b15
hex1c32302840

121101101120 has 56 divisors (see below), whose sum is σ = 291344978904. Its totient is φ = 47941042176.

The previous prime is 121101101071. The next prime is 121101101227. The reversal of 121101101120 is 21101101121.

It can be written as a sum of positive squares in 4 ways, for example, as 369869824 + 120731231296 = 19232^2 + 347464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919687 + ... + 1981766.

It is an arithmetic number, because the mean of its divisors is an integer number (5202588909).

Almost surely, 2121101101120 is an apocalyptic number.

121101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101101120 is an abundant number, since it is smaller than the sum of its proper divisors (170243877784).

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

121101101120 is an equidigital number, since it uses as much as digits as its factorization.

121101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901567 (or 3901557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121101101120 its reverse (21101101121), we get a palindrome (142202202241).

Subtracting from 121101101120 its reverse (21101101121), we obtain a palindrome (99999999999).

The spelling of 121101101120 in words is "one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 6208 7760 15520 31040 3901453 7802906 15605812 19507265 31211624 39014530 62423248 78029060 124846496 156058120 249692992 312116240 378440941 624232480 756881882 1248464960 1513763764 1892204705 3027527528 3784409410 6055055056 7568818820 12110110112 15137637640 24220220224 30275275280 60550550560 121101101120