Search a number
-
+
122007618 = 2326778201
BaseRepresentation
bin1110100010110…
…11000001000010
322111120121222200
413101123001002
5222213220433
620035014030
73011022225
oct721330102
9274517880
10122007618
1162963147
1234a3a316
131c37a975
14122bd5bc
15aaa0613
hex745b042

122007618 has 12 divisors (see below), whose sum is σ = 264349878. Its totient is φ = 40669200.

The previous prime is 122007583. The next prime is 122007631. The reversal of 122007618 is 816700221.

It can be written as a sum of positive squares in only one way, i.e., 77211369 + 44796249 = 8787^2 + 6693^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122007591 and 122007600.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3389083 + ... + 3389118.

Almost surely, 2122007618 is an apocalyptic number.

122007618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

122007618 is an abundant number, since it is smaller than the sum of its proper divisors (142342260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122007618 is a wasteful number, since it uses less digits than its factorization.

122007618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778209 (or 6778206 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 122007618 is about 11045.7058624608. The cubic root of 122007618 is about 495.9778893413.

Adding to 122007618 its reverse (816700221), we get a palindrome (938707839).

The spelling of 122007618 in words is "one hundred twenty-two million, seven thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 6778201 13556402 20334603 40669206 61003809 122007618