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122120496 = 2432877967
BaseRepresentation
bin1110100011101…
…10100100110000
322111210100211100
413101312210300
5222230323441
620041244400
73012002301
oct721664460
9274710740
10122120496
1162a2aa33
1234a93700
131c3ba164
141230c7a8
15aac3cb6
hex7476930

122120496 has 60 divisors (see below), whose sum is σ = 342511312. Its totient is φ = 40618368.

The previous prime is 122120477. The next prime is 122120521. The reversal of 122120496 is 694021221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125805 + ... + 126771.

Almost surely, 2122120496 is an apocalyptic number.

122120496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122120496 is an abundant number, since it is smaller than the sum of its proper divisors (220390816).

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

122120496 is a wasteful number, since it uses less digits than its factorization.

122120496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122120496 is about 11050.8142686410. The cubic root of 122120496 is about 496.1307971043.

The spelling of 122120496 in words is "one hundred twenty-two million, one hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 877 967 1754 1934 2631 2901 3508 3868 5262 5802 7016 7736 7893 8703 10524 11604 14032 15472 15786 17406 21048 23208 31572 34812 42096 46416 63144 69624 126288 139248 848059 1696118 2544177 3392236 5088354 6784472 7632531 10176708 13568944 15265062 20353416 30530124 40706832 61060248 122120496