1230267200 has 84 divisors (see below), whose sum is σ = 3034245900. Its totient is φ = 490967040.

The previous prime is 1230267191. The next prime is 1230267221. The reversal of 1230267200 is 27620321.

It can be written as a sum of positive squares in 6 ways, for example, as 199600384 + 1030666816 = 14128^2 + 32104^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1172276 + ... + 1173324.

It is an arithmetic number, because the mean of its divisors is an integer number (36121975).

Almost surely, 2^1230267200 is an apocalyptic number.

1230267200 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 1230267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517122950).

1230267200 is an abundant number, since it is smaller than the sum of its proper divisors (1803978700).

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

1230267200 is a wasteful number, since it uses less digits than its factorization.

1230267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1230267200 is about 35075.1650031757. The cubic root of 1230267200 is about 1071.5188491973.

Adding to 1230267200 its reverse (27620321), we get a palindrome (1257887521).

The spelling of 1230267200 in words is "one billion, two hundred thirty million, two hundred sixty-seven thousand, two hundred".