Search a number
-
+
122121210222 = 23411449152629
BaseRepresentation
bin111000110111011111…
…1011100100101101110
3102200012211121020220000
41301232333130211232
54000101012211342
6132033545205130
711552164105524
oct1615677344556
9380184536800
10122121210222
114787826a820
121b8021907a6
13b6927c044b
145ca6d54314
15329b30c44c
hex1c6efdc96e

122121210222 has 80 divisors (see below), whose sum is σ = 299185326000. Its totient is φ = 36923765760.

The previous prime is 122121210221. The next prime is 122121210227. The reversal of 122121210222 is 222012121221.

It is a happy number.

122121210222 is a `hidden beast` number, since 1 + 221 + 212 + 10 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122121210195 and 122121210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121210221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 723804 + ... + 876432.

It is an arithmetic number, because the mean of its divisors is an integer number (3739816575).

Almost surely, 2122121210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122121210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149592663000).

122121210222 is an abundant number, since it is smaller than the sum of its proper divisors (177064115778).

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

122121210222 is a wasteful number, since it uses less digits than its factorization.

122121210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153103 (or 153094 counting only the distinct ones).

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

Adding to 122121210222 its reverse (222012121221), we get a palindrome (344133331443).

The spelling of 122121210222 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 449 594 891 898 1347 1782 2694 4041 4939 8082 9878 12123 14817 24246 29634 36369 44451 72738 88902 133353 152629 266706 305258 400059 457887 800118 915774 1373661 1678919 2747322 3357838 4120983 5036757 8241966 10073514 12362949 15110271 24725898 30220542 45330813 68530421 90661626 135992439 137060842 205591263 271984878 411182526 616773789 753834631 1233547578 1507669262 1850321367 2261503893 3700642734 4523007786 5550964101 6784511679 11101928202 13569023358 20353535037 40707070074 61060605111 122121210222