1326512028000 has 768 divisors, whose sum is σ = 4641055211520. Its totient is φ = 330511104000.

The previous prime is 1326512027999. The next prime is 1326512028007. The reversal of 1326512028000 is 8202156231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326512028007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2723843757 + ... + 2723844243.

It is an arithmetic number, because the mean of its divisors is an integer number (6043040640).

Almost surely, 2^{1326512028000} is an apocalyptic number.

1326512028000 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 1326512028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320527605760).

1326512028000 is an abundant number, since it is smaller than the sum of its proper divisors (3314543183520).

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

1326512028000 is a wasteful number, since it uses less digits than its factorization.

1326512028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1326512028000 in words is "one trillion, three hundred twenty-six billion, five hundred twelve million, twenty-eight thousand".