1230806016 has 440 divisors, whose sum is σ = 4280031360. Its totient is φ = 348364800.

The previous prime is 1230805963. The next prime is 1230806029. The reversal of 1230806016 is 6106080321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 17335261 + ... + 17335331.

It is an arithmetic number, because the mean of its divisors is an integer number (9727344).

Almost surely, 2^1230806016 is an apocalyptic number.

1230806016 is a gapful number since it is divisible by the number (16) 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 1230806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140015680).

1230806016 is an abundant number, since it is smaller than the sum of its proper divisors (3049225344).

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

1230806016 is a wasteful number, since it uses less digits than its factorization.

1230806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1230806016 is about 35082.8450385655. The cubic root of 1230806016 is about 1071.6752562049.

Adding to 1230806016 its reverse (6106080321), we get a palindrome (7336886337).

The spelling of 1230806016 in words is "one billion, two hundred thirty million, eight hundred six thousand, sixteen".