Search a number
-
+
122918112 = 2532426799
BaseRepresentation
bin1110101001110…
…01010011100000
322120021212221200
413110321103200
5222431334422
620110321200
73021533562
oct724712340
9276255850
10122918112
1163425219
12351b9200
131c609215
1412479332
15abd02ac
hex75394e0

122918112 has 36 divisors (see below), whose sum is σ = 349549200. Its totient is φ = 40972608.

The previous prime is 122918099. The next prime is 122918119. The reversal of 122918112 is 211819221.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122918119) 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, 213112 + ... + 213687.

It is an arithmetic number, because the mean of its divisors is an integer number (9709700).

Almost surely, 2122918112 is an apocalyptic number.

122918112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122918112 is an abundant number, since it is smaller than the sum of its proper divisors (226631088).

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

122918112 is a wasteful number, since it uses less digits than its factorization.

122918112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426815 (or 426804 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 122918112 is about 11086.8440955937. The cubic root of 122918112 is about 497.2085944440.

The spelling of 122918112 in words is "one hundred twenty-two million, nine hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 426799 853598 1280397 1707196 2560794 3414392 3841191 5121588 6828784 7682382 10243176 13657568 15364764 20486352 30729528 40972704 61459056 122918112