Search a number
-
+
122232132002220 = 2235192271483318503
BaseRepresentation
bin11011110010101101100010…
…110011101110000110101100
3121000210021111102221102000020
4123302231202303232012230
5112010122401243032340
61111544355524202140
734513660115150052
oct3362554263560654
9530707442842006
10122232132002220
1135a463a0a26029
12118614a5839350
135328595c89576
1422280d12661d2
15e1e81196a9d0
hex6f2b62cee1ac

122232132002220 has 192 divisors, whose sum is σ = 362095323770880. Its totient is φ = 30722835416832.

The previous prime is 122232132002173. The next prime is 122232132002261. The reversal of 122232132002220 is 22200231232221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383611489 + ... + 383929991.

It is an arithmetic number, because the mean of its divisors is an integer number (1885913144640).

Almost surely, 2122232132002220 is an apocalyptic number.

122232132002220 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 122232132002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181047661885440).

122232132002220 is an abundant number, since it is smaller than the sum of its proper divisors (239863191768660).

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

122232132002220 is a wasteful number, since it uses less digits than its factorization.

122232132002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320244 (or 320242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122232132002220 its reverse (22200231232221), we get a palindrome (144432363234441).

The spelling of 122232132002220 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, one hundred thirty-two million, two thousand, two hundred twenty".