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12332333000 = 2353132633607
BaseRepresentation
bin10110111110001000…
…00111011111001000
31011211110110102112002
423133010013133020
5200224034124000
65355420410132
7614415046421
oct133704073710
934743412462
1012332333000
11525930a349
1224820a6948
131216c73480
1484dc0a648
154c2a198d5
hex2df1077c8

12332333000 has 128 divisors (see below), whose sum is σ = 31204293120. Its totient is φ = 4534905600.

The previous prime is 12332332997. The next prime is 12332333003. The reversal of 12332333000 is 33323321.

It is an interprime number because it is at equal distance from previous prime (12332332997) and next prime (12332333003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12332333003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417197 + ... + 3420803.

It is an arithmetic number, because the mean of its divisors is an integer number (243783540).

Almost surely, 212332333000 is an apocalyptic number.

12332333000 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 12332333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602146560).

12332333000 is an abundant number, since it is smaller than the sum of its proper divisors (18871960120).

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

12332333000 is a wasteful number, since it uses less digits than its factorization.

12332333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 12332333000 its reverse (33323321), we get a palindrome (12365656321).

The spelling of 12332333000 in words is "twelve billion, three hundred thirty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 263 325 500 520 526 650 1000 1052 1300 1315 1625 2104 2600 2630 3250 3419 3607 5260 6500 6575 6838 7214 10520 13000 13150 13676 14428 17095 18035 26300 27352 28856 32875 34190 36070 46891 52600 65750 68380 72140 85475 90175 93782 131500 136760 144280 170950 180350 187564 234455 263000 341900 360700 375128 427375 450875 468910 683800 721400 854750 901750 937820 948641 1172275 1709500 1803500 1875640 1897282 2344550 3419000 3607000 3794564 4689100 4743205 5861375 7589128 9378200 9486410 11722750 12332333 18972820 23445500 23716025 24664666 37945640 46891000 47432050 49329332 61661665 94864100 98658664 118580125 123323330 189728200 237160250 246646660 308308325 474320500 493293320 616616650 948641000 1233233300 1541541625 2466466600 3083083250 6166166500 12332333000