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122165121 = 31323136193
BaseRepresentation
bin1110100100000…
…01011110000001
322111212122001010
413102001132001
5222233240441
620042231133
73012246351
oct722013601
9274778033
10122165121
1162a60511
1234ab54a9
131c404570
1412320b61
15aad2116
hex7481781

122165121 has 16 divisors (see below), whose sum is σ = 183044736. Its totient is φ = 71909376.

The previous prime is 122165101. The next prime is 122165137. The reversal of 122165121 is 121561221.

It is not a de Polignac number, because 122165121 - 211 = 122163073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122165101) 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 15 ways as a sum of consecutive naturals, for example, 67200 + ... + 68993.

It is an arithmetic number, because the mean of its divisors is an integer number (11440296).

Almost surely, 2122165121 is an apocalyptic number.

It is an amenable number.

122165121 is a deficient number, since it is larger than the sum of its proper divisors (60879615).

122165121 is a wasteful number, since it uses less digits than its factorization.

122165121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136232.

The product of its digits is 240, while the sum is 21.

The square root of 122165121 is about 11052.8331662068. The cubic root of 122165121 is about 496.1912214156.

The spelling of 122165121 in words is "one hundred twenty-two million, one hundred sixty-five thousand, one hundred twenty-one".

Divisors: 1 3 13 23 39 69 299 897 136193 408579 1770509 3132439 5311527 9397317 40721707 122165121