1211328118000 has 1440 divisors, whose sum is σ = 4128362821440. Its totient is φ = 339655680000.

The previous prime is 1211328117959. The next prime is 1211328118001. The reversal of 1211328118000 is 8118231121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1211328118000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211328118001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11113101946 + ... + 11113102054.

It is an arithmetic number, because the mean of its divisors is an integer number (2866918626).

Almost surely, 2^{1211328118000} is an apocalyptic number.

1211328118000 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 1211328118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064181410720).

1211328118000 is an abundant number, since it is smaller than the sum of its proper divisors (2917034703440).

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

1211328118000 is a wasteful number, since it uses less digits than its factorization.

1211328118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The spelling of 1211328118000 in words is "one trillion, two hundred eleven billion, three hundred twenty-eight million, one hundred eighteen thousand".