Search a number
-
+
12232111320 = 233451113171553
BaseRepresentation
bin10110110010001011…
…10011010011011000
31011120110212122020000
423121011303103120
5200022410030240
65341440333000
7612060142062
oct133105632330
934513778200
1012232111320
115207787310
122454614160
1311cc282ac0
1484079c732
154b8d1e430
hex2d91734d8

12232111320 has 640 divisors, whose sum is σ = 51175333440. Its totient is φ = 2574581760.

The previous prime is 12232111273. The next prime is 12232111357. The reversal of 12232111320 is 2311123221.

12232111320 is a `hidden beast` number, since 1 + 2 + 232 + 111 + 320 = 666.

12232111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12232111293 and 12232111302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7875664 + ... + 7877216.

Almost surely, 212232111320 is an apocalyptic number.

12232111320 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 12232111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587666720).

12232111320 is an abundant number, since it is smaller than the sum of its proper divisors (38943222120).

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

12232111320 is a wasteful number, since it uses less digits than its factorization.

12232111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

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

Adding to 12232111320 its reverse (2311123221), we get a palindrome (14543234541).

The spelling of 12232111320 in words is "twelve billion, two hundred thirty-two million, one hundred eleven thousand, three hundred twenty".