Search a number
-
+
12321321012 = 223271113379241
BaseRepresentation
bin10110111100110100…
…00111000000110100
31011210200201221220200
423132122013000310
5200213224233022
65354344400500
7614222333460
oct133632070064
934720657820
1012321321012
115253078930
12247a476130
1312148b90c0
1484c5814a0
154c1a91bac
hex2de687034

12321321012 has 288 divisors, whose sum is σ = 42952675584. Its totient is φ = 2874009600.

The previous prime is 12321321011. The next prime is 12321321017. The reversal of 12321321012 is 21012312321.

12321321012 is a `hidden beast` number, since 12 + 321 + 321 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321321011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328712 + ... + 1337952.

Almost surely, 212321321012 is an apocalyptic number.

12321321012 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 12321321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476337792).

12321321012 is an abundant number, since it is smaller than the sum of its proper divisors (30631354572).

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

12321321012 is a wasteful number, since it uses less digits than its factorization.

12321321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9319 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12321321012 its reverse (21012312321), we get a palindrome (33333633333).

It can be divided in two parts, 12321 and 321012, that added together give a palindrome (333333).

The spelling of 12321321012 in words is "twelve billion, three hundred twenty-one million, three hundred twenty-one thousand, twelve".