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12233210000 = 245411111211
BaseRepresentation
bin10110110010010011…
…11111100010010000
31011120112221110022212
423121021333202100
5200023200210000
65341520051252
7612102366164
oct133111774220
934515843285
1012233210000
115208367810
122454a63b28
1311cc578bcb
148409a6ca4
154b8e89c35
hex2d927f890

12233210000 has 100 divisors (see below), whose sum is σ = 32310644784. Its totient is φ = 4448400000.

The previous prime is 12233209993. The next prime is 12233210009. The reversal of 12233210000 is 1233221.

It is a happy number.

12233210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12233210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54395 + ... + 165605.

Almost surely, 212233210000 is an apocalyptic number.

12233210000 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 12233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155322392).

12233210000 is an abundant number, since it is smaller than the sum of its proper divisors (20077434784).

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

12233210000 is a wasteful number, since it uses less digits than its factorization.

12233210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111250 (or 111229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12233210000 its reverse (1233221), we get a palindrome (12234443221).

The spelling of 12233210000 in words is "twelve billion, two hundred thirty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 111211 222422 444844 556055 889688 1112110 1223321 1779376 2224220 2446642 2780275 4448440 4893284 5560550 6116605 8896880 9786568 11121100 12233210 13901375 19573136 22242200 24466420 27802750 30583025 44484400 48932840 55605500 61166050 69506875 97865680 111211000 122332100 139013750 152915125 222422000 244664200 278027500 305830250 489328400 556055000 611660500 764575625 1112110000 1223321000 1529151250 2446642000 3058302500 6116605000 12233210000