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121122120200 = 23521735624153
BaseRepresentation
bin111000011001101110…
…0001110001000001000
3102120122012122020000212
41300303130032020020
53441024230321300
6131350455220252
711515343014604
oct1606334161010
9376565566025
10121122120200
1147405308694
121b583677688
13b563811513
145c103a2504
15323d75a935
hex1c3370e208

121122120200 has 48 divisors (see below), whose sum is σ = 298174168980. Its totient is φ = 45598914560.

The previous prime is 121122120143. The next prime is 121122120277. The reversal of 121122120200 is 2021221121.

It can be written as a sum of positive squares in 6 ways, for example, as 48772955716 + 72349164484 = 220846^2 + 268978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17808677 + ... + 17815476.

Almost surely, 2121122120200 is an apocalyptic number.

121122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122120200 is an abundant number, since it is smaller than the sum of its proper divisors (177052048780).

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

121122120200 is a wasteful number, since it uses less digits than its factorization.

121122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35624186 (or 35624177 counting only the distinct ones).

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

Adding to 121122120200 its reverse (2021221121), we get a palindrome (123143341321).

It can be divided in two parts, 12112 and 2120200, that added together give a palindrome (2132312).

The spelling of 121122120200 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 35624153 71248306 142496612 178120765 284993224 356241530 605610601 712483060 890603825 1211221202 1424966120 1781207650 2422442404 3028053005 3562415300 4844884808 6056106010 7124830600 12112212020 15140265025 24224424040 30280530050 60561060100 121122120200