1288668997100 has 72 divisors (see below), whose sum is σ = 2870864252928. Its totient is φ = 501858491200.

The previous prime is 1288668997093. The next prime is 1288668997103. The reversal of 1288668997100 is 17998668821.

It is not an unprimeable number, because it can be changed into a prime (1288668997103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179939 + ... + 1615461.

It is an arithmetic number, because the mean of its divisors is an integer number (39873114624).

Almost surely, 2^{1288668997100} is an apocalyptic number.

1288668997100 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 1288668997100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435432126464).

1288668997100 is an abundant number, since it is smaller than the sum of its proper divisors (1582195255828).

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

1288668997100 is a wasteful number, since it uses less digits than its factorization.

1288668997100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435775 (or 1435768 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 65.

The spelling of 1288668997100 in words is "one trillion, two hundred eighty-eight billion, six hundred sixty-eight million, nine hundred ninety-seven thousand, one hundred".