Search a number
-
+
12335221080 = 233457131723107
BaseRepresentation
bin10110111110011110…
…01000100101011000
31011211122220011020000
423133033020211120
5200230304033310
65400002333000
7614451435450
oct133717104530
934748804200
1012335221080
11525aa02196
12248305a160
131217744bb0
1485035cd60
154c2dda4c0
hex2df3c8958

12335221080 has 1280 divisors, whose sum is σ = 56905390080. Its totient is φ = 2321104896.

The previous prime is 12335221049. The next prime is 12335221127. The reversal of 12335221080 is 8012253321.

12335221080 is a `hidden beast` number, since 1 + 2 + 33 + 522 + 108 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 115282387 + ... + 115282493.

It is an arithmetic number, because the mean of its divisors is an integer number (44457336).

Almost surely, 212335221080 is an apocalyptic number.

12335221080 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 12335221080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28452695040).

12335221080 is an abundant number, since it is smaller than the sum of its proper divisors (44570169000).

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

12335221080 is a wasteful number, since it uses less digits than its factorization.

12335221080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12335221080 in words is "twelve billion, three hundred thirty-five million, two hundred twenty-one thousand, eighty".