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12355022000000 = 275617418863
BaseRepresentation
bin1011001111001010000010…
…1100101000111110000000
31121202010110201121100001102
42303302200230220332000
53104411041113000000
642135452503353532
72413422651144131
oct263624054507600
947663421540042
1012355022000000
113a3380a908079
12147659ba528a8
136b80c5850634
14309db43dbc88
151665b0cc43d5
hexb3ca0b28f80

12355022000000 has 448 divisors, whose sum is σ = 33374610299520. Its totient is φ = 4537344000000.

The previous prime is 12355021999997. The next prime is 12355022000003. The reversal of 12355022000000 is 22055321.

It is an interprime number because it is at equal distance from previous prime (12355021999997) and next prime (12355022000003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355022000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1393995569 + ... + 1394004431.

It is an arithmetic number, because the mean of its divisors is an integer number (74496897990).

Almost surely, 212355022000000 is an apocalyptic number.

12355022000000 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 12355022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687305149760).

12355022000000 is an abundant number, since it is smaller than the sum of its proper divisors (21019588299520).

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

12355022000000 is an frugal number, since it uses more digits than its factorization.

12355022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 12355022000000 its reverse (22055321), we get a palindrome (12355044055321).

The spelling of 12355022000000 in words is "twelve trillion, three hundred fifty-five billion, twenty-two million", and thus it is an aban number.