Search a number
-
+
1112112120 = 2335717471657
BaseRepresentation
bin100001001001001…
…0111101111111000
32212111122011000210
41002102113233320
54234200041440
6302204231120
736362540250
oct10222275770
92774564023
101112112120
11520838329
1227053b4a0
13149531a12
14a79b2960
1567979a80
hex42497bf8

1112112120 has 256 divisors, whose sum is σ = 4125634560. Its totient is φ = 234012672.

The previous prime is 1112112107. The next prime is 1112112179. The reversal of 1112112120 is 212112111.

1112112120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1112112096 and 1112112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670332 + ... + 671988.

It is an arithmetic number, because the mean of its divisors is an integer number (16115760).

Almost surely, 21112112120 is an apocalyptic number.

1112112120 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 1112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062817280).

1112112120 is an abundant number, since it is smaller than the sum of its proper divisors (3013522440).

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

1112112120 is a wasteful number, since it uses less digits than its factorization.

1112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1112112120 is about 33348.3450863757. The cubic root of 1112112120 is about 1036.0551120287.

Adding to 1112112120 its reverse (212112111), we get a palindrome (1324224231).

Subtracting from 1112112120 its reverse (212112111), we obtain a palindrome (900000009).

The spelling of 1112112120 in words is "one billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".