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12230243823840 = 2535719792425019
BaseRepresentation
bin1011000111111001001101…
…0101101011000011100000
31121022012101201110020002120
42301332103111223003200
53100340014404330330
642002255122144240
72401414562145030
oct261762325530340
947265351406076
1012230243823840
1139958a9884539
121456377ab2080
136a93cb7632c3
14303d386578c0
1516320b5d2c10
hexb1f9356b0e0

12230243823840 has 384 divisors, whose sum is σ = 46932867072000. Its totient is φ = 2614829008896.

The previous prime is 12230243823803. The next prime is 12230243823869. The reversal of 12230243823840 is 4832834203221.

12230243823840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12230243823792 and 12230243823801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3830851 + ... + 6255869.

It is an arithmetic number, because the mean of its divisors is an integer number (122221008000).

Almost surely, 212230243823840 is an apocalyptic number.

12230243823840 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 12230243823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466433536000).

12230243823840 is an abundant number, since it is smaller than the sum of its proper divisors (34702623248160).

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

12230243823840 is a wasteful number, since it uses less digits than its factorization.

12230243823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425142 (or 2425134 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 12230243823840 in words is "twelve trillion, two hundred thirty billion, two hundred forty-three million, eight hundred twenty-three thousand, eight hundred forty".