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12012230000 = 24542115693
BaseRepresentation
bin10110010111111110…
…00001010101110000
31011000011010111202102
423023333001111300
5144100112330000
65303543435532
7603450161501
oct131377012560
934004114672
1012012230000
115104655211
1223b2a55ba8
131195857404
1481d4c2ba8
154a48893d5
hex2cbfc1570

12012230000 has 100 divisors (see below), whose sum is σ = 29225776008. Its totient is φ = 4781280000.

The previous prime is 12012229973. The next prime is 12012230003. The reversal of 12012230000 is 3221021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012230003) 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, 2107154 + ... + 2112846.

Almost surely, 212012230000 is an apocalyptic number.

12012230000 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 12012230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612888004).

12012230000 is an abundant number, since it is smaller than the sum of its proper divisors (17213546008).

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

12012230000 is an equidigital number, since it uses as much as digits as its factorization.

12012230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12012230000 its reverse (3221021), we get a palindrome (12015451021).

The spelling of 12012230000 in words is "twelve billion, twelve million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 625 844 1000 1055 1250 1688 2000 2110 2500 3376 4220 5000 5275 5693 8440 10000 10550 11386 16880 21100 22772 26375 28465 42200 45544 52750 56930 84400 91088 105500 113860 131875 142325 211000 227720 263750 284650 422000 455440 527500 569300 711625 1055000 1138600 1201223 1423250 2110000 2277200 2402446 2846500 3558125 4804892 5693000 6006115 7116250 9609784 11386000 12012230 14232500 19219568 24024460 28465000 30030575 48048920 56930000 60061150 96097840 120122300 150152875 240244600 300305750 480489200 600611500 750764375 1201223000 1501528750 2402446000 3003057500 6006115000 12012230000