1205134343400 has 192 divisors, whose sum is σ = 4153079185920. Its totient is φ = 287079091200.

The previous prime is 1205134343297. The next prime is 1205134343407. The reversal of 1205134343400 is 43434315021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1205134343407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250207 + ... + 2733806.

It is an arithmetic number, because the mean of its divisors is an integer number (21630620760).

Almost surely, 2^{1205134343400} is an apocalyptic number.

1205134343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205134343400 is an abundant number, since it is smaller than the sum of its proper divisors (2947944842520).

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

1205134343400 is a wasteful number, since it uses less digits than its factorization.

1205134343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984076 (or 4984067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1205134343400 its reverse (43434315021), we get a palindrome (1248568658421).

The spelling of 1205134343400 in words is "one trillion, two hundred five billion, one hundred thirty-four million, three hundred forty-three thousand, four hundred".