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12223332000 = 2533531110289
BaseRepresentation
bin10110110001001000…
…10011111010100000
31011112212100121021000
423120210103322200
5200013133111000
65340524232000
7611622415305
oct133044237240
934485317230
1012223332000
115202830280
12245169b600
1311ca4caa39
1483d5550ac
154b8188000
hex2d8913ea0

12223332000 has 384 divisors, whose sum is σ = 48542457600. Its totient is φ = 2962944000.

The previous prime is 12223331977. The next prime is 12223332007. The reversal of 12223332000 is 23332221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223332007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182856 + ... + 1193144.

It is an arithmetic number, because the mean of its divisors is an integer number (126412650).

Almost surely, 212223332000 is an apocalyptic number.

12223332000 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 12223332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271228800).

12223332000 is an abundant number, since it is smaller than the sum of its proper divisors (36319125600).

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

12223332000 is a wasteful number, since it uses less digits than its factorization.

12223332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12223332000 its reverse (23332221), we get a palindrome (12246664221).

The spelling of 12223332000 in words is "twelve billion, two hundred twenty-three million, three hundred thirty-two thousand".