Search a number
-
+
12331206720 = 26345731973
BaseRepresentation
bin10110111101111111…
…10100100001000000
31011211101100012120000
423132333310201000
5200223242103340
65355340320000
7614402346000
oct133677644100
934741305500
1012331206720
115258710138
122481843000
13121696a931
1484d9d6000
154c2895d30
hex2deff4840

12331206720 has 1120 divisors, whose sum is σ = 54583584000. Its totient is φ = 2633637888.

The previous prime is 12331206689. The next prime is 12331206721. The reversal of 12331206720 is 2760213321.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (12331206721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168920604 + ... + 168920676.

Almost surely, 212331206720 is an apocalyptic number.

12331206720 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 12331206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27291792000).

12331206720 is an abundant number, since it is smaller than the sum of its proper divisors (42252377280).

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

12331206720 is an equidigital number, since it uses as much as digits as its factorization.

12331206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 12331206720 in words is "twelve billion, three hundred thirty-one million, two hundred six thousand, seven hundred twenty".