Search a number
-
+
12231123300000 = 253255113733391
BaseRepresentation
bin1011000111111100011111…
…0000100110111010100000
31121022021200000100020120200
42301333013300212322200
53100343320031100000
642002522300305200
72401445431443333
oct261770760467240
947267600306520
1012231123300000
113996210268a40
121456582542200
136a950ba21cb7
14303dbd39061a
1516325d908500
hexb1fc7c26ea0

12231123300000 has 864 divisors, whose sum is σ = 48710592822528. Its totient is φ = 2884896000000.

The previous prime is 12231123299987. The next prime is 12231123300029. The reversal of 12231123300000 is 332113221.

12231123300000 is a `hidden beast` number, since 1 + 22 + 311 + 2 + 330 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 366283305 + ... + 366316695.

It is an arithmetic number, because the mean of its divisors is an integer number (56378000952).

Almost surely, 212231123300000 is an apocalyptic number.

12231123300000 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 12231123300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355296411264).

12231123300000 is an abundant number, since it is smaller than the sum of its proper divisors (36479469522528).

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

12231123300000 is a wasteful number, since it uses less digits than its factorization.

12231123300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33480 (or 33449 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12231123300000 its reverse (332113221), we get a palindrome (12231455413221).

The spelling of 12231123300000 in words is "twelve trillion, two hundred thirty-one billion, one hundred twenty-three million, three hundred thousand".