1211011322000 has 320 divisors, whose sum is σ = 3164302352640. Its totient is φ = 448018905600.

The previous prime is 1211011321963. The next prime is 1211011322029. The reversal of 1211011322000 is 2231101121.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 589872974 + ... + 589875026.

It is an arithmetic number, because the mean of its divisors is an integer number (9888444852).

Almost surely, 2^{1211011322000} is an apocalyptic number.

1211011322000 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 1211011322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582151176320).

1211011322000 is an abundant number, since it is smaller than the sum of its proper divisors (1953291030640).

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

1211011322000 is an equidigital number, since it uses as much as digits as its factorization.

1211011322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1211011322000 its reverse (2231101121), we get a palindrome (1213242423121).

The spelling of 1211011322000 in words is "one trillion, two hundred eleven billion, eleven million, three hundred twenty-two thousand".