1287120529800 has 288 divisors, whose sum is σ = 5023824436800. Its totient is φ = 289212387840.

The previous prime is 1287120529771. The next prime is 1287120529867. The reversal of 1287120529800 is 89250217821.

1287120529800 is a `hidden beast` number, since 1 + 28 + 7 + 1 + 20 + 529 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122299 + ... + 1609098.

It is an arithmetic number, because the mean of its divisors is an integer number (17443834850).

Almost surely, 2^{1287120529800} is an apocalyptic number.

1287120529800 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 1287120529800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511912218400).

1287120529800 is an abundant number, since it is smaller than the sum of its proper divisors (3736703907000).

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

1287120529800 is a wasteful number, since it uses less digits than its factorization.

1287120529800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731485 (or 1731473 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1287120529800 in words is "one trillion, two hundred eighty-seven billion, one hundred twenty million, five hundred twenty-nine thousand, eight hundred".