1288276411800 has 384 divisors, whose sum is σ = 4963283043840. Its totient is φ = 269650944000.

The previous prime is 1288276411771. The next prime is 1288276411801. The reversal of 1288276411800 is 81146728821.

It is a super-2 number, since 2×1288276411800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1288276411800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288276411801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2397975 + ... + 2885625.

It is an arithmetic number, because the mean of its divisors is an integer number (12925216260).

Almost surely, 2^{1288276411800} is an apocalyptic number.

1288276411800 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 1288276411800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481641521920).

1288276411800 is an abundant number, since it is smaller than the sum of its proper divisors (3675006632040).

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

1288276411800 is a wasteful number, since it uses less digits than its factorization.

1288276411800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487731 (or 487722 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 1288276411800 in words is "one trillion, two hundred eighty-eight billion, two hundred seventy-six million, four hundred eleven thousand, eight hundred".