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122001561 = 32111232339
BaseRepresentation
bin1110100010110…
…01100010011001
322111120022200100
413101121202121
5222213022221
620034530013
73010665453
oct721314231
9274508610
10122001561
1162959640
1234a36909
131c377c96
14122bb2d3
15aa9d926
hex7459899

122001561 has 12 divisors (see below), whose sum is σ = 192245040. Its totient is φ = 73940280.

The previous prime is 122001559. The next prime is 122001563. The reversal of 122001561 is 165100221.

It is an interprime number because it is at equal distance from previous prime (122001559) and next prime (122001563).

It is not a de Polignac number, because 122001561 - 21 = 122001559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122001563) by changing a digit.

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, 616071 + ... + 616268.

It is an arithmetic number, because the mean of its divisors is an integer number (16020420).

Almost surely, 2122001561 is an apocalyptic number.

122001561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001561 is a deficient number, since it is larger than the sum of its proper divisors (70243479).

122001561 is a wasteful number, since it uses less digits than its factorization.

122001561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232356 (or 1232353 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 122001561 is about 11045.4316801110. The cubic root of 122001561 is about 495.9696816904.

Adding to 122001561 its reverse (165100221), we get a palindrome (287101782).

The spelling of 122001561 in words is "one hundred twenty-two million, one thousand, five hundred sixty-one".

Divisors: 1 3 9 11 33 99 1232339 3697017 11091051 13555729 40667187 122001561