1249000200 has 540 divisors, whose sum is σ = 5198137815. Its totient is φ = 268692480.

The previous prime is 1249000189. The next prime is 1249000223. The reversal of 1249000200 is 20009421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 813276324 + 435723876 = 28518^2 + 20874^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24990.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 73470592 + ... + 73470608.

Almost surely, 2^1249000200 is an apocalyptic number.

1249000200 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 1249000200

1249000200 is an abundant number, since it is smaller than the sum of its proper divisors (3949137615).

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

1249000200 is a wasteful number, since it uses less digits than its factorization.

1249000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1249000200 is about 35341.1969237036. The cubic root of 1249000200 is about 1076.9300679033.

Multiplying 1249000200 by its sum of digits (18), we get a square (22482003600 = 149940²).

1249000200 divided by its sum of digits (18) gives a square (69388900 = 8330²).

Adding to 1249000200 its reverse (20009421), we get a palindrome (1269009621).

The spelling of 1249000200 in words is "one billion, two hundred forty-nine million, two hundred", and thus it is an aban number.