1213545600 has 288 divisors, whose sum is σ = 4482609300. Its totient is φ = 312238080.

The previous prime is 1213545577. The next prime is 1213545643. The reversal of 1213545600 is 65453121.

1213545600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 54 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 825297984 + 388247616 = 28728^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834474 + ... + 835926.

Almost surely, 2^1213545600 is an apocalyptic number.

1213545600 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 1213545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241304650).

1213545600 is an abundant number, since it is smaller than the sum of its proper divisors (3269063700).

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

1213545600 is a wasteful number, since it uses less digits than its factorization.

1213545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1213545600 is about 34835.9813985483. The cubic root of 1213545600 is about 1066.6420480429.

Adding to 1213545600 its reverse (65453121), we get a palindrome (1278998721).

The spelling of 1213545600 in words is "one billion, two hundred thirteen million, five hundred forty-five thousand, six hundred".