Search a number
-
+
12320111201320 = 23513247313123887
BaseRepresentation
bin1011001101000111111111…
…0110100000110000101000
31121121210100201210000022201
42303101333312200300220
53103323041431420240
642111440404025544
72411045561226016
oct263217766406050
947553321700281
1012320111201320
113a1aa2565233a
12146b8783922b4
136b4a20c5c200
14308421ab18b6
1516571aeb3d9a
hexb347fda0c28

12320111201320 has 192 divisors, whose sum is σ = 30753441745920. Its totient is φ = 4437917632512.

The previous prime is 12320111201317. The next prime is 12320111201339. The reversal of 12320111201320 is 2310211102321.

12320111201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99384417 + ... + 99508303.

It is an arithmetic number, because the mean of its divisors is an integer number (160174175760).

Almost surely, 212320111201320 is an apocalyptic number.

12320111201320 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 12320111201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376720872960).

12320111201320 is an abundant number, since it is smaller than the sum of its proper divisors (18433330544600).

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

12320111201320 is a wasteful number, since it uses less digits than its factorization.

12320111201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124284 (or 124267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12320111201320 its reverse (2310211102321), we get a palindrome (14630322303641).

The spelling of 12320111201320 in words is "twelve trillion, three hundred twenty billion, one hundred eleven million, two hundred one thousand, three hundred twenty".