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122120319 = 357770549
BaseRepresentation
bin1110100011101…
…10100001111111
322111210100120210
413101312201333
5222230322234
620041243503
73012001626
oct721664177
9274710523
10122120319
1162a2a892
1234a93593
131c3ba059
141230c6bd
15aac3be9
hex747687f

122120319 has 8 divisors (see below), whose sum is σ = 163111600. Its totient is φ = 81271296.

The previous prime is 122120311. The next prime is 122120329. The reversal of 122120319 is 913021221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122120319 - 23 = 122120311 is a prime.

It is a super-2 number, since 2×1221203192 = 29826744625323522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122120295 and 122120304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33544 + ... + 37005.

It is an arithmetic number, because the mean of its divisors is an integer number (20388950).

Almost surely, 2122120319 is an apocalyptic number.

122120319 is a deficient number, since it is larger than the sum of its proper divisors (40991281).

122120319 is an equidigital number, since it uses as much as digits as its factorization.

122120319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71129.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 122120319 is about 11050.8062601785. The cubic root of 122120319 is about 496.1305574088.

The spelling of 122120319 in words is "one hundred twenty-two million, one hundred twenty thousand, three hundred nineteen".

Divisors: 1 3 577 1731 70549 211647 40706773 122120319