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122220612 = 223218118757
BaseRepresentation
bin1110100100011…
…11000001000100
322111222110011100
413102033001010
5222242024422
620043340100
73012600213
oct722170104
9274873140
10122220612
1162a99178
1234b21630
131c4238b7
141233707a
15aae37ac
hex748f044

122220612 has 36 divisors (see below), whose sum is σ = 310669996. Its totient is φ = 40512960.

The previous prime is 122220589. The next prime is 122220613. The reversal of 122220612 is 216022221.

122220612 is a `hidden beast` number, since 12 + 22 + 20 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 94595076 = 5256^2 + 9726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (122220613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2863 + ... + 15894.

Almost surely, 2122220612 is an apocalyptic number.

122220612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220612 is an abundant number, since it is smaller than the sum of its proper divisors (188449384).

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

122220612 is a wasteful number, since it uses less digits than its factorization.

122220612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122220612 is about 11055.3431425714. The cubic root of 122220612 is about 496.2663382710.

Adding to 122220612 its reverse (216022221), we get a palindrome (338242833).

The spelling of 122220612 in words is "one hundred twenty-two million, two hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 18757 37514 56271 75028 112542 168813 225084 337626 675252 3395017 6790034 10185051 13580068 20370102 30555153 40740204 61110306 122220612