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12113233000 = 23531110110903
BaseRepresentation
bin10110100100000000…
…10100010001101000
31011021012011222211021
423102000110101220
5144301441424000
65321552342224
7606114532051
oct132200242150
934235158737
1012113233000
115156671270
122420844974
1311b075c5bb
1482ca95728
154ad68b11a
hex2d2014468

12113233000 has 128 divisors (see below), whose sum is σ = 31230800640. Its totient is φ = 4360800000.

The previous prime is 12113232997. The next prime is 12113233003. The reversal of 12113233000 is 33231121.

It is an interprime number because it is at equal distance from previous prime (12113232997) and next prime (12113233003).

It is not an unprimeable number, because it can be changed into a prime (12113233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105549 + ... + 1116451.

It is an arithmetic number, because the mean of its divisors is an integer number (243990630).

Almost surely, 212113233000 is an apocalyptic number.

12113233000 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 12113233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615400320).

12113233000 is an abundant number, since it is smaller than the sum of its proper divisors (19117567640).

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

12113233000 is a wasteful number, since it uses less digits than its factorization.

12113233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12113233000 its reverse (33231121), we get a palindrome (12146464121).

The spelling of 12113233000 in words is "twelve billion, one hundred thirteen million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 10903 11000 11110 12625 20200 21806 22220 25250 27775 43612 44440 50500 54515 55550 87224 101000 109030 111100 119933 138875 218060 222200 239866 272575 277750 436120 479732 545150 555500 599665 959464 1090300 1101203 1111000 1199330 1362875 2180600 2202406 2398660 2725750 2998325 4404812 4797320 5451500 5506015 5996650 8809624 10903000 11012030 11993300 12113233 14991625 22024060 23986600 24226466 27530075 29983250 44048120 48452932 55060150 59966500 60566165 96905864 110120300 119933000 121132330 137650375 220240600 242264660 275300750 302830825 484529320 550601500 605661650 1101203000 1211323300 1514154125 2422646600 3028308250 6056616500 12113233000