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12122230000 = 24544013023
BaseRepresentation
bin10110100101000101…
…01000110011110000
31011021211010002101111
423102202220303300
5144311242330000
65322513243104
7606254153266
oct132242506360
934254102344
1012122230000
115160756901
122423863494
1311b258c77a
1482dd58436
154ae366cba
hex2d28a8cf0

12122230000 has 100 divisors (see below), whose sum is σ = 29432053728. Its totient is φ = 4835200000.

The previous prime is 12122229949. The next prime is 12122230031. The reversal of 12122230000 is 3222121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4008489 + ... + 4011511.

Almost surely, 212122230000 is an apocalyptic number.

12122230000 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 12122230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716026864).

12122230000 is an abundant number, since it is smaller than the sum of its proper divisors (17309823728).

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

12122230000 is an equidigital number, since it uses as much as digits as its factorization.

12122230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12122230000 its reverse (3222121), we get a palindrome (12125452121).

The spelling of 12122230000 in words is "twelve billion, one hundred twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 401 500 625 802 1000 1250 1604 2000 2005 2500 3023 3208 4010 5000 6046 6416 8020 10000 10025 12092 15115 16040 20050 24184 30230 32080 40100 48368 50125 60460 75575 80200 100250 120920 151150 160400 200500 241840 250625 302300 377875 401000 501250 604600 755750 802000 1002500 1209200 1212223 1511500 1889375 2005000 2424446 3023000 3778750 4010000 4848892 6046000 6061115 7557500 9697784 12122230 15115000 19395568 24244460 30230000 30305575 48488920 60611150 96977840 121222300 151527875 242444600 303055750 484889200 606111500 757639375 1212223000 1515278750 2424446000 3030557500 6061115000 12122230000