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12330331213200 = 243527111313973849
BaseRepresentation
bin1011001101101110000100…
…0000110000110110010000
31121122202201222112102000020
42303123201000300312100
53104010004242310300
642120250450223440
72411560050004020
oct263334100606620
947582658472006
1012330331213200
113a2429a578550
12147184ab84b80
136b598c3bc610
14308b11145a80
15165b183308a0
hexb36e1030d90

12330331213200 has 960 divisors, whose sum is σ = 53414747904000. Its totient is φ = 2348011929600.

The previous prime is 12330331213163. The next prime is 12330331213237. The reversal of 12330331213200 is 231213303321.

It is an interprime number because it is at equal distance from previous prime (12330331213163) and next prime (12330331213237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166929876 + ... + 167003724.

It is an arithmetic number, because the mean of its divisors is an integer number (55640362400).

Almost surely, 212330331213200 is an apocalyptic number.

12330331213200 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 12330331213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707373952000).

12330331213200 is an abundant number, since it is smaller than the sum of its proper divisors (41084416690800).

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

12330331213200 is a wasteful number, since it uses less digits than its factorization.

12330331213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74040 (or 74029 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12330331213200 its reverse (231213303321), we get a palindrome (12561544516521).

The spelling of 12330331213200 in words is "twelve trillion, three hundred thirty billion, three hundred thirty-one million, two hundred thirteen thousand, two hundred".