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12133223000 = 2353172924611
BaseRepresentation
bin10110100110011001…
…00100101001011000
31011022120210120221122
423103030210221120
5144322101114000
65323545024412
7606446456663
oct132314445130
934276716848
1012133223000
115166985028
122427485108
1311b493b2c2
148315ba6da
154b02d9085
hex2d3324a58

12133223000 has 128 divisors (see below), whose sum is σ = 31099723200. Its totient is φ = 4410112000.

The previous prime is 12133222963. The next prime is 12133223009. The reversal of 12133223000 is 32233121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12133223000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133223009) 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, 480695 + ... + 505305.

Almost surely, 212133223000 is an apocalyptic number.

12133223000 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 12133223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549861600).

12133223000 is an abundant number, since it is smaller than the sum of its proper divisors (18966500200).

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

12133223000 is a wasteful number, since it uses less digits than its factorization.

12133223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24678 (or 24664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12133223000 its reverse (32233121), we get a palindrome (12165456121).

The spelling of 12133223000 in words is "twelve billion, one hundred thirty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 340 425 493 500 580 680 725 850 986 1000 1160 1450 1700 1972 2125 2465 2900 3400 3625 3944 4250 4930 5800 7250 8500 9860 12325 14500 17000 19720 24611 24650 29000 49222 49300 61625 98444 98600 123055 123250 196888 246110 246500 418387 492220 493000 615275 713719 836774 984440 1230550 1427438 1673548 2091935 2461100 2854876 3076375 3347096 3568595 4183870 4922200 5709752 6152750 7137190 8367740 10459675 12133223 12305500 14274380 16735480 17842975 20919350 24266446 24611000 28548760 35685950 41838700 48532892 52298375 60666115 71371900 83677400 89214875 97065784 104596750 121332230 142743800 178429750 209193500 242664460 303330575 356859500 418387000 485328920 606661150 713719000 1213322300 1516652875 2426644600 3033305750 6066611500 12133223000