Search a number
-
+
123201113112 = 233271153419291
BaseRepresentation
bin111001010111101011…
…0111100110000011000
3102210000002122000011100
41302233112330300120
54004303441104422
6132333043231400
711621016116460
oct1625726746030
9383002560140
10123201113112
11482818a8850
121ba63978560
13b80545573c
145d6a540ba0
1533110237ac
hex1caf5bcc18

123201113112 has 192 divisors, whose sum is σ = 423853896960. Its totient is φ = 31396435200.

The previous prime is 123201113089. The next prime is 123201113141. The reversal of 123201113112 is 211311102321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84187 + ... + 503477.

It is an arithmetic number, because the mean of its divisors is an integer number (2207572380).

Almost surely, 2123201113112 is an apocalyptic number.

123201113112 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 123201113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211926948480).

123201113112 is an abundant number, since it is smaller than the sum of its proper divisors (300652783848).

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

123201113112 is a wasteful number, since it uses less digits than its factorization.

123201113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419374 (or 419367 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123201113112 its reverse (211311102321), we get a palindrome (334512215433).

The spelling of 123201113112 in words is "one hundred twenty-three billion, two hundred one million, one hundred thirteen thousand, one hundred twelve".