Search a number
-
+
12113331120 = 243251112712043
BaseRepresentation
bin10110100100000001…
…01100001110110000
31011021012100222102100
423102000230032300
5144302003043440
65321554420400
7606115421112
oct132200541660
934235328370
1012113331120
115156728a60
122420891700
1311b0795167
1482cabd3b2
154ad6aa230
hex2d202c3b0

12113331120 has 240 divisors, whose sum is σ = 44731994112. Its totient is φ = 2913200640.

The previous prime is 12113331107. The next prime is 12113331121. The reversal of 12113331120 is 2113331121.

12113331120 is a `hidden beast` number, since 1 + 211 + 3 + 331 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12113331093 and 12113331102.

It is not an unprimeable number, because it can be changed into a prime (12113331121) 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 47 ways as a sum of consecutive naturals, for example, 999819 + ... + 1011861.

Almost surely, 212113331120 is an apocalyptic number.

12113331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365997056).

12113331120 is an abundant number, since it is smaller than the sum of its proper divisors (32618662992).

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

12113331120 is a wasteful number, since it uses less digits than its factorization.

12113331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12113331120 its reverse (2113331121), we get a palindrome (14226662241).

Subtracting from 12113331120 its reverse (2113331121), we obtain a palindrome (9999999999).

The spelling of 12113331120 in words is "twelve billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".