Search a number
-
+
122220644520 = 233513259310163
BaseRepresentation
bin111000111010011101…
…0110000100010101000
3102200110202201001002210
41301310322300202220
54000301441111040
6132051500325120
711554512223452
oct1616472604250
9380422631083
10122220644520
1147919405227
121b82b5437a0
13b6aa296600
145cb62392d2
1532a4dee480
hex1c74eb08a8

122220644520 has 192 divisors, whose sum is σ = 397744966080. Its totient is φ = 30031392768.

The previous prime is 122220644461. The next prime is 122220644521. The reversal of 122220644520 is 25446022221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122220644521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12020959 + ... + 12031121.

It is an arithmetic number, because the mean of its divisors is an integer number (2071588365).

Almost surely, 2122220644520 is an apocalyptic number.

122220644520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220644520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198872483040).

122220644520 is an abundant number, since it is smaller than the sum of its proper divisors (275524321560).

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

122220644520 is a wasteful number, since it uses less digits than its factorization.

122220644520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 122220644520 its reverse (25446022221), we get a palindrome (147666666741).

The spelling of 122220644520 in words is "one hundred twenty-two billion, two hundred twenty million, six hundred forty-four thousand, five hundred twenty".