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12000331223040 = 2123519411571597
BaseRepresentation
bin1010111010100000101101…
…1110101101000000000000
31120111012221201022222101110
42232220023132231000000
53033103134243114130
641304513121203320
72345665252243236
oct256501336550000
946435851288343
1012000331223040
113907348144656
1214198b2790540
1369081b200254
142d6b6799c956
1515c25204aab0
hexaea0b7ad000

12000331223040 has 832 divisors, whose sum is σ = 41692824311040. Its totient is φ = 2937040404480.

The previous prime is 12000331223039. The next prime is 12000331223047. The reversal of 12000331223040 is 4032213300021.

It is a junction number, because it is equal to n+sod(n) for n = 12000331222998 and 12000331223016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000331223047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7514295522 + ... + 7514297118.

Almost surely, 212000331223040 is an apocalyptic number.

12000331223040 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 12000331223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846412155520).

12000331223040 is an abundant number, since it is smaller than the sum of its proper divisors (29692493088000).

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

12000331223040 is a wasteful number, since it uses less digits than its factorization.

12000331223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12000331223040 its reverse (4032213300021), we get a palindrome (16032544523061).

The spelling of 12000331223040 in words is "twelve trillion, three hundred thirty-one million, two hundred twenty-three thousand, forty".