Search a number
-
+
12314022120 = 233253153109191
BaseRepresentation
bin10110111011111100…
…10001000011101000
31011210012000010201100
423131332101003220
5200204342201440
65353524121400
7614103314061
oct133576210350
934705003640
1012314022120
115249a43094
122477b36260
131213231b2a
1484b601568
154c10ee230
hex2ddf910e8

12314022120 has 384 divisors, whose sum is σ = 42699571200. Its totient is φ = 3073075200.

The previous prime is 12314022107. The next prime is 12314022157. The reversal of 12314022120 is 2122041321.

It is a happy number.

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 = 12314022093 and 12314022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64471225 + ... + 64471415.

It is an arithmetic number, because the mean of its divisors is an integer number (111196800).

Almost surely, 212314022120 is an apocalyptic number.

12314022120 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 12314022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349785600).

12314022120 is an abundant number, since it is smaller than the sum of its proper divisors (30385549080).

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

12314022120 is a wasteful number, since it uses less digits than its factorization.

12314022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12314022120 its reverse (2122041321), we get a palindrome (14436063441).

The spelling of 12314022120 in words is "twelve billion, three hundred fourteen million, twenty-two thousand, one hundred twenty".