1205442200000 has 168 divisors, whose sum is σ = 3025934546544. Its totient is φ = 476360960000.

The previous prime is 1205442199999. The next prime is 1205442200021. The reversal of 1205442200000 is 22445021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16563692 + ... + 16636308.

It is an arithmetic number, because the mean of its divisors is an integer number (18011515158).

Almost surely, 2^{1205442200000} is an apocalyptic number.

1205442200000 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 1205442200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512967273272).

1205442200000 is an abundant number, since it is smaller than the sum of its proper divisors (1820492346544).

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

1205442200000 is an frugal number, since it uses more digits than its factorization.

1205442200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72737 (or 72707 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 1205442200000 its reverse (22445021), we get a palindrome (1205464645021).

The spelling of 1205442200000 in words is "one trillion, two hundred five billion, four hundred forty-two million, two hundred thousand".