1211111341000 has 256 divisors, whose sum is σ = 3171280170240. Its totient is φ = 429088000000.

The previous prime is 1211111340947. The next prime is 1211111341001. The reversal of 1211111341000 is 1431111121.

It is not an unprimeable number, because it can be changed into a prime (1211111341001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478509735 + ... + 478512265.

It is an arithmetic number, because the mean of its divisors is an integer number (12387813165).

Almost surely, 2^{1211111341000} is an apocalyptic number.

1211111341000 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 1211111341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585640085120).

1211111341000 is an abundant number, since it is smaller than the sum of its proper divisors (1960168829240).

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

1211111341000 is a wasteful number, since it uses less digits than its factorization.

1211111341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1211111341000 its reverse (1431111121), we get a palindrome (1212542452121).

The spelling of 1211111341000 in words is "one trillion, two hundred eleven billion, one hundred eleven million, three hundred forty-one thousand".