Search a number
-
+
12020111120 = 245172312541
BaseRepresentation
bin10110011000111010…
…00101011100010000
31011000200221220121202
423030131011130100
5144104122023440
65304424410332
7603604154513
oct131435053420
934020856552
1012020111120
115109048436
1223b56169a8
1311973866b4
14820574d7a
154a53e4615
hex2cc745710

12020111120 has 180 divisors, whose sum is σ = 30732639012. Its totient is φ = 4371148800.

The previous prime is 12020111107. The next prime is 12020111149. The reversal of 12020111120 is 2111102021.

It can be written as a sum of positive squares in 6 ways, for example, as 355247104 + 11664864016 = 18848^2 + 108004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22218050 + ... + 22218590.

Almost surely, 212020111120 is an apocalyptic number.

12020111120 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 12020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366319506).

12020111120 is an abundant number, since it is smaller than the sum of its proper divisors (18712527892).

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

12020111120 is a wasteful number, since it uses less digits than its factorization.

12020111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12020111120 its reverse (2111102021), we get a palindrome (14131213141).

Subtracting from 12020111120 its reverse (2111102021), we obtain a palindrome (9909009099).

The spelling of 12020111120 in words is "twelve billion, twenty million, one hundred eleven thousand, one hundred twenty".