Search a number
-
+
122212102000220 = 22530677199191743
BaseRepresentation
bin11011110010011010111000…
…111011010100111001011100
3121000201100210111221212202022
4123302122320323110321130
5112004310341103001340
61111531244203515312
734512350550015551
oct3362327073247134
9530640714855668
10122212102000220
1135a38952575071
1211859635828b38
135326723308a8b
142227150db0a28
15e1e03d2753b5
hex6f26b8ed4e5c

122212102000220 has 24 divisors (see below), whose sum is σ = 256653781542144. Its totient is φ = 48883247020736.

The previous prime is 122212102000217. The next prime is 122212102000223. The reversal of 122212102000220 is 22000201212221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122212102000217) and next prime (122212102000223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212102000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98982332 + ... + 100209411.

It is an arithmetic number, because the mean of its divisors is an integer number (10693907564256).

Almost surely, 2122212102000220 is an apocalyptic number.

122212102000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212102000220 is an abundant number, since it is smaller than the sum of its proper divisors (134441679541924).

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

122212102000220 is a wasteful number, since it uses less digits than its factorization.

122212102000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199222429 (or 199222427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122212102000220 its reverse (22000201212221), we get a palindrome (144212303212441).

The spelling of 122212102000220 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 30677 61354 122708 153385 306770 613540 199191743 398383486 796766972 995958715 1991917430 3983834860 6110605100011 12221210200022 24442420400044 30553025500055 61106051000110 122212102000220