Search a number
-
+
122212111021 = 71113122090021
BaseRepresentation
bin111000111010001101…
…0001101001010101101
3102200110011122111100021
41301310122031022231
54000242300023041
6132050553402141
711554346542450
oct1616432151255
9380404574307
10122212111021
1147914606950
121b828709351
13b6a85993c0
145cb5057497
1532a42b5cd1
hex1c7468d2ad

122212111021 has 16 divisors (see below), whose sum is σ = 164088989568. Its totient is φ = 87904814400.

The previous prime is 122212111009. The next prime is 122212111037. The reversal of 122212111021 is 120111212221.

It is not a de Polignac number, because 122212111021 - 223 = 122203722413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122212110986 and 122212111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212111051) 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, 61044010 + ... + 61046011.

It is an arithmetic number, because the mean of its divisors is an integer number (10255561848).

Almost surely, 2122212111021 is an apocalyptic number.

122212111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212111021 is a deficient number, since it is larger than the sum of its proper divisors (41876878547).

122212111021 is a wasteful number, since it uses less digits than its factorization.

122212111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122090052.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122212111021 its reverse (120111212221), we get a palindrome (242323323242).

The spelling of 122212111021 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 122090021 854630147 1342990231 1587170273 9400931617 11110191911 17458873003 122212111021