Search a number
-
+
122441412 = 22317600203
BaseRepresentation
bin1110100110001…
…00111011000100
322112101200001010
413103010323010
5222321111122
620052202220
73014510022
oct723047304
9275350033
10122441412
116312a055
1235009370
131c4a0252
1412393712
15ab38e0c
hex74c4ec4

122441412 has 24 divisors (see below), whose sum is σ = 302502816. Its totient is φ = 38412928.

The previous prime is 122441381. The next prime is 122441419. The reversal of 122441412 is 214144221.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122441419) 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 7 ways as a sum of consecutive naturals, for example, 299898 + ... + 300305.

It is an arithmetic number, because the mean of its divisors is an integer number (12604284).

Almost surely, 2122441412 is an apocalyptic number.

122441412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122441412 is an abundant number, since it is smaller than the sum of its proper divisors (180061404).

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

122441412 is a wasteful number, since it uses less digits than its factorization.

122441412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600227 (or 600225 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 122441412 is about 11065.3247579996. The cubic root of 122441412 is about 496.5650049921.

Adding to 122441412 its reverse (214144221), we get a palindrome (336585633).

The spelling of 122441412 in words is "one hundred twenty-two million, four hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 600203 1200406 1800609 2400812 3601218 7202436 10203451 20406902 30610353 40813804 61220706 122441412