1228686800 has 120 divisors (see below), whose sum is σ = 3275549280. Its totient is φ = 439129600.

The previous prime is 1228686799. The next prime is 1228686847. The reversal of 1228686800 is 86868221.

1228686800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 257234 + ... + 261966.

It is an arithmetic number, because the mean of its divisors is an integer number (27296244).

Almost surely, 2^1228686800 is an apocalyptic number.

1228686800 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 1228686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637774640).

1228686800 is an abundant number, since it is smaller than the sum of its proper divisors (2046862480).

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

1228686800 is a wasteful number, since it uses less digits than its factorization.

1228686800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 1228686800 is about 35052.6290026868. The cubic root of 1228686800 is about 1071.0598285789.

The spelling of 1228686800 in words is "one billion, two hundred twenty-eight million, six hundred eighty-six thousand, eight hundred".