1211011120000 has 320 divisors, whose sum is σ = 3298389177600. Its totient is φ = 439084800000.

The previous prime is 1211011119931. The next prime is 1211011120019. The reversal of 1211011120000 is 211101121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333518185 + ... + 333521815.

It is an arithmetic number, because the mean of its divisors is an integer number (10307466180).

Almost surely, 2^{1211011120000} is an apocalyptic number.

1211011120000 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 1211011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649194588800).

1211011120000 is an abundant number, since it is smaller than the sum of its proper divisors (2087378057600).

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

1211011120000 is an equidigital number, since it uses as much as digits as its factorization.

1211011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1211011120000 its reverse (211101121), we get a palindrome (1211222221121).

The spelling of 1211011120000 in words is "one trillion, two hundred eleven billion, eleven million, one hundred twenty thousand".