Search a number
-
+
122202210012 = 22310339858197
BaseRepresentation
bin111000111001111010…
…0011011111011011100
3102200102111000110201020
41301303310123323130
54000232231210022
6132050001244140
711554166434521
oct1616364337334
9380374013636
10122202210012
1147909a640a3
121b825333650
13b6a651090c
145cb39db148
1532a34ac35c
hex1c73d1bedc

122202210012 has 24 divisors (see below), whose sum is σ = 285414548496. Its totient is φ = 40694633088.

The previous prime is 122202209999. The next prime is 122202210017. The reversal of 122202210012 is 210012202221.

It is a junction number, because it is equal to n+sod(n) for n = 122202209973 and 122202210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202210017) 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 7 ways as a sum of consecutive naturals, for example, 4916703 + ... + 4941494.

It is an arithmetic number, because the mean of its divisors is an integer number (11892272854).

Almost surely, 2122202210012 is an apocalyptic number.

122202210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122202210012 is an abundant number, since it is smaller than the sum of its proper divisors (163212338484).

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

122202210012 is a wasteful number, since it uses less digits than its factorization.

122202210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859237 (or 9859235 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122202210012 its reverse (210012202221), we get a palindrome (332214412233).

The spelling of 122202210012 in words is "one hundred twenty-two billion, two hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 1033 2066 3099 4132 6198 12396 9858197 19716394 29574591 39432788 59149182 118298364 10183517501 20367035002 30550552503 40734070004 61101105006 122202210012