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122000007 = 31719137919
BaseRepresentation
bin1110100010110…
…01001010000111
322111120020112210
413101121022013
5222213000012
620034514503
73010661103
oct721311207
9274506483
10122000007
1162958458
1234a35a33
131c37736c
14122ba903
15aa9d23c
hex7459287

122000007 has 32 divisors (see below), whose sum is σ = 182822400. Its totient is φ = 71912448.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000007 is 700000221.

It is not a de Polignac number, because 122000007 - 22 = 122000003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121999956 and 122000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000003) 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 31 ways as a sum of consecutive naturals, for example, 132294 + ... + 133212.

It is an arithmetic number, because the mean of its divisors is an integer number (5713200).

Almost surely, 2122000007 is an apocalyptic number.

122000007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

122000007 is a deficient number, since it is larger than the sum of its proper divisors (60822393).

122000007 is a wasteful number, since it uses less digits than its factorization.

122000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 122000007 is about 11045.3613340624. The cubic root of 122000007 is about 495.9675758699.

Adding to 122000007 its reverse (700000221), we get a palindrome (822000228).

The spelling of 122000007 in words is "one hundred twenty-two million, seven", and thus it is an aban number.

Divisors: 1 3 17 19 51 57 137 323 411 919 969 2329 2603 2757 6987 7809 15623 17461 44251 46869 52383 125903 132753 296837 377709 890511 2140351 2392157 6421053 7176471 40666669 122000007