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122120505 = 325131910987
BaseRepresentation
bin1110100011101…
…10100100111001
322111210100211200
413101312210321
5222230324010
620041244413
73012002313
oct721664471
9274710750
10122120505
1162a2aa41
1234a93709
131c3ba170
141230c7b3
15aac3cc0
hex7476939

122120505 has 48 divisors (see below), whose sum is σ = 239977920. Its totient is φ = 56951424.

The previous prime is 122120477. The next prime is 122120521. The reversal of 122120505 is 505021221.

It is not a de Polignac number, because 122120505 - 211 = 122118457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5622 + ... + 16608.

It is an arithmetic number, because the mean of its divisors is an integer number (4999540).

Almost surely, 2122120505 is an apocalyptic number.

122120505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122120505 is a deficient number, since it is larger than the sum of its proper divisors (117857415).

122120505 is a wasteful number, since it uses less digits than its factorization.

122120505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11030 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 122120505 is about 11050.8146758508. The cubic root of 122120505 is about 496.1308092922.

Adding to 122120505 its reverse (505021221), we get a palindrome (627141726).

The spelling of 122120505 in words is "one hundred twenty-two million, one hundred twenty thousand, five hundred five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 3705 10987 11115 32961 54935 98883 142831 164805 208753 428493 494415 626259 714155 1043765 1285479 1878777 2142465 2713789 3131295 6427395 8141367 9393885 13568945 24424101 40706835 122120505