1288980000 has 960 divisors, whose sum is σ = 6046064640. Its totient is φ = 259200000.

The previous prime is 1288979987. The next prime is 1288980013. The reversal of 1288980000 is 898821.

It is an interprime number because it is at equal distance from previous prime (1288979987) and next prime (1288980013).

It is a super-2 number, since 2×1288980000² = 3322938880800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 41579985 + ... + 41580015.

It is an arithmetic number, because the mean of its divisors is an integer number (6297984).

Almost surely, 2^1288980000 is an apocalyptic number.

1288980000 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 1288980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023032320).

1288980000 is an abundant number, since it is smaller than the sum of its proper divisors (4757084640).

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

1288980000 is a wasteful number, since it uses less digits than its factorization.

1288980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1288980000 is about 35902.3676099502. The cubic root of 1288980000 is about 1088.3002433342.

The spelling of 1288980000 in words is "one billion, two hundred eighty-eight million, nine hundred eighty thousand".