Search a number
-
+
12333141211230 = 23257661145120411
BaseRepresentation
bin1011001101111000100010…
…0000000011100001011110
31121200000222211001002122100
42303132020200003201132
53104031233122224410
642121433350225530
72412016510413060
oct263361040034136
947600884032570
1012333141211230
113a25501764674
1214722b40552a6
136b601960a548
14308cda40d730
15165c2ed928c0
hexb378880385e

12333141211230 has 192 divisors, whose sum is σ = 36729584027136. Its totient is φ = 2812661280000.

The previous prime is 12333141211199. The next prime is 12333141211297. The reversal of 12333141211230 is 3211214133321.

12333141211230 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 1 + 412 + 11 + 230 = 666.

It is a super-2 number, since 2×123331412112302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333141211194 and 12333141211203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604229725 + ... + 604250135.

It is an arithmetic number, because the mean of its divisors is an integer number (191299916808).

Almost surely, 212333141211230 is an apocalyptic number.

12333141211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333141211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364792013568).

12333141211230 is an abundant number, since it is smaller than the sum of its proper divisors (24396442815906).

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

12333141211230 is a wasteful number, since it uses less digits than its factorization.

12333141211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22543 (or 22540 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12333141211230 its reverse (3211214133321), we get a palindrome (15544355344551).

The spelling of 12333141211230 in words is "twelve trillion, three hundred thirty-three billion, one hundred forty-one million, two hundred eleven thousand, two hundred thirty".