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121111441000 = 23531121000921
BaseRepresentation
bin111000011001011001…
…1011110111001101000
3102120121110112122220221
41300302303132321220
53441014012103000
6131345434255424
711515153156114
oct1606263367150
9376543478827
10121111441000
11473aa284200
121b57bb87574
13b561542774
145c0cbc2744
15323c84b61a
hex1c32cdee68

121111441000 has 96 divisors (see below), whose sum is σ = 311506944840. Its totient is φ = 44040480000.

The previous prime is 121111440941. The next prime is 121111441039. The reversal of 121111441000 is 144111121.

It can be written as a sum of positive squares in 4 ways, for example, as 50049743524 + 71061697476 = 223718^2 + 266574^2 .

It is a super-2 number, since 2×1211114410002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379461 + ... + 621460.

Almost surely, 2121111441000 is an apocalyptic number.

121111441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111441000 is an abundant number, since it is smaller than the sum of its proper divisors (190395503840).

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

121111441000 is a wasteful number, since it uses less digits than its factorization.

121111441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000964 (or 1000939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121111441000 its reverse (144111121), we get a palindrome (121255552121).

The spelling of 121111441000 in words is "one hundred twenty-one billion, one hundred eleven million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 1000921 2001842 4003684 5004605 8007368 10009210 11010131 20018420 22020262 25023025 40036840 44040524 50046050 55050655 88081048 100092100 110101310 121111441 125115125 200184200 220202620 242222882 250230250 275253275 440405240 484445764 500460500 550506550 605557205 968891528 1000921000 1101013100 1211114410 1376266375 2202026200 2422228820 2752532750 3027786025 4844457640 5505065500 6055572050 11010131000 12111144100 15138930125 24222288200 30277860250 60555720500 121111441000