1288123200 has 504 divisors, whose sum is σ = 5640555648. Its totient is φ = 271503360.

The previous prime is 1288123163. The next prime is 1288123229. The reversal of 1288123200 is 23218821.

1288123200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1288123200² = 3318522756756480000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1309909 + ... + 1310891.

Almost surely, 2^1288123200 is an apocalyptic number.

1288123200 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 1288123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820277824).

1288123200 is an abundant number, since it is smaller than the sum of its proper divisors (4352432448).

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

1288123200 is a wasteful number, since it uses less digits than its factorization.

1288123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1288123200 is about 35890.4332657047. The cubic root of 1288123200 is about 1088.0590546089.

The spelling of 1288123200 in words is "one billion, two hundred eighty-eight million, one hundred twenty-three thousand, two hundred".