1321533271200 has 216 divisors, whose sum is σ = 4455043171488. Its totient is φ = 340256322560.

The previous prime is 1321533271189. The next prime is 1321533271237. The reversal of 1321533271200 is 21723351231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1691029 + ... + 2345771.

It is an arithmetic number, because the mean of its divisors is an integer number (20625199868).

Almost surely, 2^{1321533271200} is an apocalyptic number.

1321533271200 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 1321533271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227521585744).

1321533271200 is an abundant number, since it is smaller than the sum of its proper divisors (3133509900288).

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

1321533271200 is a wasteful number, since it uses less digits than its factorization.

1321533271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654824 (or 654782 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 1321533271200 in words is "one trillion, three hundred twenty-one billion, five hundred thirty-three million, two hundred seventy-one thousand, two hundred".