1288066104900 has 81 divisors (see below), whose sum is σ = 4037478370653. Its totient is φ = 343475215200.

The previous prime is 1288066104883. The next prime is 1288066104937. The reversal of 1288066104900 is 94016608821.

The square root of 1288066104900 is 1134930.

It is a perfect power (a square), and thus also a powerful number.

1288066104900 is a `hidden beast` number, since 1 + 28 + 8 + 0 + 6 + 610 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 463703797764 + 824362307136 = 680958^2 + 907944^2 .

It is a super-2 number, since 2×1288066104900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34028985 + ... + 34066815.

Almost surely, 2^{1288066104900} is an apocalyptic number.

1288066104900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1288066104900 is the 1134930-th square number.

It is an amenable number.

1288066104900 is an abundant number, since it is smaller than the sum of its proper divisors (2749412265753).

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

1288066104900 is an frugal number, since it uses more digits than its factorization.

1288066104900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75682 (or 37841 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1288066104900 in words is "one trillion, two hundred eighty-eight billion, sixty-six million, one hundred four thousand, nine hundred".