Search a number
-
+
12379226112 = 218341153
BaseRepresentation
bin10111000011101110…
…00000000000000000
31011221201200211210000
423201313000000000
5200323040213422
65404213440000
7615524454141
oct134167000000
934851624700
1012379226112
115282828890
122495940000
1312238b1686
14856135ac8
154c6bcdcac
hex2e1dc0000

12379226112 has 380 divisors, whose sum is σ = 41108295096. Its totient is φ = 3680501760.

The previous prime is 12379226089. The next prime is 12379226117. The reversal of 12379226112 is 21162297321.

12379226112 is a `hidden beast` number, since 1 + 2 + 37 + 9 + 2 + 2 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18144) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12379226117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 233570278 + ... + 233570330.

Almost surely, 212379226112 is an apocalyptic number.

12379226112 is a gapful number since it is divisible by the number (12) 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 12379226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554147548).

12379226112 is an abundant number, since it is smaller than the sum of its proper divisors (28729068984).

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

12379226112 is an frugal number, since it uses more digits than its factorization.

12379226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 12379226112 in words is "twelve billion, three hundred seventy-nine million, two hundred twenty-six thousand, one hundred twelve".