1205055346050 has 144 divisors (see below), whose sum is σ = 3275747827560. Its totient is φ = 317571840000.

The previous prime is 1205055346043. The next prime is 1205055346051. The reversal of 1205055346050 is 506435505021.

1205055346050 is a `hidden beast` number, since 1 + 2 + 0 + 50 + 553 + 4 + 6 + 0 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17781422409 + 1187273923641 = 133347^2 + 1089621^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1205055345996 and 1205055346014.

It is not an unprimeable number, because it can be changed into a prime (1205055346051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 24563946 + ... + 24612954.

Almost surely, 2^{1205055346050} is an apocalyptic number.

1205055346050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205055346050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637873913780).

1205055346050 is an abundant number, since it is smaller than the sum of its proper divisors (2070692481510).

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

1205055346050 is a wasteful number, since it uses less digits than its factorization.

1205055346050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49669 (or 49661 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1205055346050 in words is "one trillion, two hundred five billion, fifty-five million, three hundred forty-six thousand, fifty".