Search a number
-
+
12321020300000 = 25551773101983
BaseRepresentation
bin1011001101001011011000…
…0010011100101011100000
31121121212201002102000021012
42303102312002130223200
53103331422144100000
642112110521120052
72411110240361336
oct263226602345340
947555632360235
1012321020300000
113a20351829665
12146ba90929028
136b4b373c0119
143084aa719b56
15165770bdb735
hexb34b609cae0

12321020300000 has 576 divisors, whose sum is σ = 32898211129728. Its totient is φ = 4525056000000.

The previous prime is 12321020299997. The next prime is 12321020300021. The reversal of 12321020300000 is 302012321.

It is a happy number.

It is a congruent number.

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, 12534099509 + ... + 12534100491.

It is an arithmetic number, because the mean of its divisors is an integer number (57114949878).

Almost surely, 212321020300000 is an apocalyptic number.

12321020300000 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 12321020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449105564864).

12321020300000 is an abundant number, since it is smaller than the sum of its proper divisors (20577190829728).

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

12321020300000 is an equidigital number, since it uses as much as digits as its factorization.

12321020300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12321020300000 its reverse (302012321), we get a palindrome (12321322312321).

The spelling of 12321020300000 in words is "twelve trillion, three hundred twenty-one billion, twenty million, three hundred thousand".