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4003122000000 = 27356719397
BaseRepresentation
bin111010010000001100101…
…010100011000010000000
3112011200202110021201210210
4322100030222203002000
51011041343213000000
612303001525154120
7562134044366664
oct72201452430200
915150673251723
104003122000000
11130379500a462
125479b955b940
13230653857306
14dba75c228a4
156e1e50ec350
hex3a40caa3080

4003122000000 has 448 divisors, whose sum is σ = 13480083702720. Its totient is φ = 1052352000000.

The previous prime is 4003121999927. The next prime is 4003122000041. The reversal of 4003122000000 is 2213004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4003122000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 425995302 + ... + 426004698.

Almost surely, 24003122000000 is an apocalyptic number.

4003122000000 is a gapful number since it is divisible by the number (40) 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 4003122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740041851360).

4003122000000 is an abundant number, since it is smaller than the sum of its proper divisors (9476961702720).

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

4003122000000 is an frugal number, since it uses more digits than its factorization.

4003122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 4003122000000 its reverse (2213004), we get a palindrome (4003124213004).

The spelling of 4003122000000 in words is "four trillion, three billion, one hundred twenty-two million", and thus it is an aban number.