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12443112000000 = 293356115237
BaseRepresentation
bin1011010100010010001101…
…0001010100101000000000
31122001112211212110222202000
42311010203101110220000
53112331443133000000
642244141534024000
72422661625611433
oct265044321245000
948045755428660
1012443112000000
113a68104372970
12148b685048000
136c34c3a4a4a6
1431036d78b81a
15168a1961a000
hexb5123454a00

12443112000000 has 1120 divisors, whose sum is σ = 50235050733120. Its totient is φ = 3015936000000.

The previous prime is 12443111999959. The next prime is 12443112000047. The reversal of 12443112000000 is 21134421.

12443112000000 is a `hidden beast` number, since 12 + 443 + 11 + 200 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2375997382 + ... + 2376002618.

Almost surely, 212443112000000 is an apocalyptic number.

12443112000000 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 12443112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117525366560).

12443112000000 is an abundant number, since it is smaller than the sum of its proper divisors (37791938733120).

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

12443112000000 is an frugal number, since it uses more digits than its factorization.

12443112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12443112000000 its reverse (21134421), we get a palindrome (12443133134421).

The spelling of 12443112000000 in words is "twelve trillion, four hundred forty-three billion, one hundred twelve million", and thus it is an aban number.