1288120023000 has 256 divisors, whose sum is σ = 4560497510400. Its totient is φ = 336189859200.

The previous prime is 1288120022923. The next prime is 1288120023089. The reversal of 1288120023000 is 3200218821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761467 + ... + 1776533.

It is an arithmetic number, because the mean of its divisors is an integer number (17814443400).

Almost surely, 2^{1288120023000} is an apocalyptic number.

1288120023000 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 1288120023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280248755200).

1288120023000 is an abundant number, since it is smaller than the sum of its proper divisors (3272377487400).

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

1288120023000 is a wasteful number, since it uses less digits than its factorization.

1288120023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015144 (or 1015124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1288120023000 in words is "one trillion, two hundred eighty-eight billion, one hundred twenty million, twenty-three thousand".