1205334430256 has 80 divisors (see below), whose sum is σ = 2683306828800. Its totient is φ = 518737363200.

The previous prime is 1205334430249. The next prime is 1205334430277. The reversal of 1205334430256 is 6520344335021.

It is a super-2 number, since 2×1205334430256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5609441 + ... + 5820351.

It is an arithmetic number, because the mean of its divisors is an integer number (33541335360).

Almost surely, 2^{1205334430256} is an apocalyptic number.

1205334430256 is a gapful number since it is divisible by the number (16) 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 1205334430256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341653414400).

1205334430256 is an abundant number, since it is smaller than the sum of its proper divisors (1477972398544).

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

1205334430256 is a wasteful number, since it uses less digits than its factorization.

1205334430256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212658 (or 212652 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 1205334430256 its reverse (6520344335021), we get a palindrome (7725678765277).

The spelling of 1205334430256 in words is "one trillion, two hundred five billion, three hundred thirty-four million, four hundred thirty thousand, two hundred fifty-six".