1205213341200 has 480 divisors, whose sum is σ = 4261816845312. Its totient is φ = 288707328000.

The previous prime is 1205213341193. The next prime is 1205213341207. The reversal of 1205213341200 is 21433125021.

It is an interprime number because it is at equal distance from previous prime (1205213341193) and next prime (1205213341207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1205213341207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029216615 + ... + 1029217785.

Almost surely, 2^{1205213341200} is an apocalyptic number.

1205213341200 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 1205213341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130908422656).

1205213341200 is an abundant number, since it is smaller than the sum of its proper divisors (3056603504112).

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

1205213341200 is a wasteful number, since it uses less digits than its factorization.

1205213341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1205213341200 its reverse (21433125021), we get a palindrome (1226646466221).

The spelling of 1205213341200 in words is "one trillion, two hundred five billion, two hundred thirteen million, three hundred forty-one thousand, two hundred".