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122220112 = 2472155893
BaseRepresentation
bin1110100100011…
…10111001010000
322111222102110211
413102032321100
5222242020422
620043333504
73012565600
oct722167120
9274872424
10122220112
1162a98863
1234b21294
131c4235c1
1412336c00
15aae3577
hex748ee50

122220112 has 30 divisors (see below), whose sum is σ = 275464698. Its totient is φ = 52379712.

The previous prime is 122220041. The next prime is 122220113. The reversal of 122220112 is 211022221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121088016 + 1132096 = 11004^2 + 1064^2 .

It is a super-3 number, since 3×1222201123 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122220092 and 122220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77163 + ... + 78730.

Almost surely, 2122220112 is an apocalyptic number.

It is an amenable number.

122220112 is an abundant number, since it is smaller than the sum of its proper divisors (153244586).

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

122220112 is a wasteful number, since it uses less digits than its factorization.

122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155915 (or 155902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122220112 is about 11055.3205290484. The cubic root of 122220112 is about 496.2656615343.

Adding to 122220112 its reverse (211022221), we get a palindrome (333242333).

The spelling of 122220112 in words is "one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 155893 311786 623572 1091251 1247144 2182502 2494288 4365004 7638757 8730008 15277514 17460016 30555028 61110056 122220112