Search a number
-
+
122112010999 = 1131838742697
BaseRepresentation
bin111000110111001110…
…0010110101011110111
3102200012012021212221001
41301232130112223313
54000041133322444
6132033020104131
711552022652606
oct1615634265367
9380165255831
10122112010999
1147873057260
121b7bb095047
13b69091c214
145ca5a3ba3d
15329a5e18d4
hex1c6e716af7

122112010999 has 16 divisors (see below), whose sum is σ = 137529916416. Its totient is φ = 107414596800.

The previous prime is 122112010981. The next prime is 122112011003. The reversal of 122112010999 is 999010211221.

It is a cyclic number.

It is not a de Polignac number, because 122112010999 - 225 = 122078456567 is a prime.

It is a super-2 number, since 2×1221120109992 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112010949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838619 + ... + 2881315.

It is an arithmetic number, because the mean of its divisors is an integer number (8595619776).

Almost surely, 2122112010999 is an apocalyptic number.

122112010999 is a deficient number, since it is larger than the sum of its proper divisors (15417905417).

122112010999 is a wasteful number, since it uses less digits than its factorization.

122112010999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51126.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 122112010999 in words is "one hundred twenty-two billion, one hundred twelve million, ten thousand, nine hundred ninety-nine".

Divisors: 1 11 31 341 8387 42697 92257 259997 469667 1323607 2859967 14559677 358099739 3939097129 11101091909 122112010999