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122187 = 3132241
BaseRepresentation
bin11101110101001011
320012121110
4131311023
512402222
62341403
71016142
oct356513
9205543
10122187
118388a
125a863
1343800
1432759
152630c
hex1dd4b

122187 has 12 divisors (see below), whose sum is σ = 177144. Its totient is φ = 74880.

The previous prime is 122173. The next prime is 122201. The reversal of 122187 is 781221.

It is an interprime number because it is at equal distance from previous prime (122173) and next prime (122201).

It is not a de Polignac number, because 122187 - 28 = 121931 is a prime.

122187 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (14762).

2122187 is an apocalyptic number.

122187 is a deficient number, since it is larger than the sum of its proper divisors (54957).

122187 is a wasteful number, since it uses less digits than its factorization.

122187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 122187 is about 349.5525711535. The cubic root of 122187 is about 49.6220841217.

It can be divided in two parts, 12 and 2187, that multiplied together give a square (26244 = 1622).

The spelling of 122187 in words is "one hundred twenty-two thousand, one hundred eighty-seven".

Divisors: 1 3 13 39 169 241 507 723 3133 9399 40729 122187