1329891871200 has 288 divisors, whose sum is σ = 4614215608800. Its totient is φ = 331535155200.

The previous prime is 1329891871193. The next prime is 1329891871219. The reversal of 1329891871200 is 21781989231.

It is a super-2 number, since 2×1329891871200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5969820 + ... + 6188580.

It is an arithmetic number, because the mean of its divisors is an integer number (16021581975).

Almost surely, 2^{1329891871200} is an apocalyptic number.

1329891871200 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 1329891871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307107804400).

1329891871200 is an abundant number, since it is smaller than the sum of its proper divisors (3284323737600).

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

1329891871200 is a wasteful number, since it uses less digits than its factorization.

1329891871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218950 (or 218937 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 1329891871200 in words is "one trillion, three hundred twenty-nine billion, eight hundred ninety-one million, eight hundred seventy-one thousand, two hundred".