Search a number
-
+
122127220 = 22512494889
BaseRepresentation
bin1110100011110…
…00001101110100
322111210201001101
413101320031310
5222231032340
620041335444
73012031015
oct721701564
9274721041
10122127220
1162a34a96
1234a97584
131c3c0237
141231100c
15aac5c9a
hex7478374

122127220 has 24 divisors (see below), whose sum is σ = 256725000. Its totient is φ = 48801792.

The previous prime is 122127209. The next prime is 122127223. The reversal of 122127220 is 22721221.

It can be written as a sum of positive squares in 4 ways, for example, as 16695396 + 105431824 = 4086^2 + 10268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122127223) 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, 22536 + ... + 27424.

It is an arithmetic number, because the mean of its divisors is an integer number (10696875).

Almost surely, 2122127220 is an apocalyptic number.

122127220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122127220 is an abundant number, since it is smaller than the sum of its proper divisors (134597780).

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

122127220 is a wasteful number, since it uses less digits than its factorization.

122127220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 122127220 is about 11051.1184954284. The cubic root of 122127220 is about 496.1399026527.

Adding to 122127220 its reverse (22721221), we get a palindrome (144848441).

It can be divided in two parts, 1221 and 27220, that added together give a triangular number (28441 = T238).

The spelling of 122127220 in words is "one hundred twenty-two million, one hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1249 2498 4889 4996 6245 9778 12490 19556 24445 24980 48890 97780 6106361 12212722 24425444 30531805 61063610 122127220