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12233320000 = 26541127803
BaseRepresentation
bin10110110010010100…
…11010011001000000
31011120120011001012221
423121022122121000
5200023212220000
65341522300424
7612103334656
oct133112323100
934516131187
1012233320000
115208432420
122454ab7714
1311cc5b6cb5
148409d4dd6
154b8eac61a
hex2d929a640

12233320000 has 140 divisors (see below), whose sum is σ = 33093544176. Its totient is φ = 4448320000.

The previous prime is 12233319979. The next prime is 12233320007. The reversal of 12233320000 is 2333221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12233320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426099 + ... + 453901.

Almost surely, 212233320000 is an apocalyptic number.

12233320000 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 12233320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546772088).

12233320000 is an abundant number, since it is smaller than the sum of its proper divisors (20860224176).

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

12233320000 is an equidigital number, since it uses as much as digits as its factorization.

12233320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27846 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12233320000 its reverse (2333221), we get a palindrome (12235653221).

It can be divided in two parts, 12233 and 320000, that added together give a palindrome (332233).

The spelling of 12233320000 in words is "twelve billion, two hundred thirty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 27803 40000 44000 55000 55606 88000 110000 111212 139015 220000 222424 278030 305833 440000 444848 556060 611666 695075 889696 1112120 1223332 1390150 1529165 1779392 2224240 2446664 2780300 3058330 3475375 4448480 4893328 5560600 6116660 6950750 7645825 8896960 9786656 11121200 12233320 13901500 15291650 17376875 19573312 22242400 24466640 27803000 30583300 34753750 38229125 44484800 48933280 55606000 61166600 69507500 76458250 97866560 111212000 122333200 139015000 152916500 191145625 222424000 244666400 278030000 305833000 382291250 489332800 556060000 611666000 764582500 1112120000 1223332000 1529165000 2446664000 3058330000 6116660000 12233320000