Search a number
-
+
122212112202 = 23310872082049
BaseRepresentation
bin111000111010001101…
…0001101011101001010
3102200110011122112222000
41301310122031131022
54000242300042302
6132050553411430
711554346546055
oct1616432153512
9380404575860
10122212112202
1147914607824
121b828709b76
13b6a8599abb
145cb5057a9c
1532a42b631c
hex1c7468d74a

122212112202 has 32 divisors (see below), whose sum is σ = 271832448000. Its totient is φ = 40699874304.

The previous prime is 122212112171. The next prime is 122212112203. The reversal of 122212112202 is 202211212221.

It is a happy number.

122212112202 is a `hidden beast` number, since 12 + 221 + 211 + 220 + 2 = 666.

122212112202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122212112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982327 + ... + 1099722.

It is an arithmetic number, because the mean of its divisors is an integer number (8494764000).

Almost surely, 2122212112202 is an apocalyptic number.

122212112202 is an abundant number, since it is smaller than the sum of its proper divisors (149620335798).

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

122212112202 is a wasteful number, since it uses less digits than its factorization.

122212112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083147 (or 2083141 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212112202 its reverse (202211212221), we get a palindrome (324423324423).

The spelling of 122212112202 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 1087 2174 3261 6522 9783 19566 29349 58698 2082049 4164098 6246147 12492294 18738441 37476882 56215323 112430646 2263187263 4526374526 6789561789 13579123578 20368685367 40737370734 61106056101 122212112202