1221101120000 has 400 divisors, whose sum is σ = 3240977430240. Its totient is φ = 458164224000.

The previous prime is 1221101119961. The next prime is 1221101120011. The reversal of 1221101120000 is 211011221.

It is a tau number, because it is divible by the number of its divisors (400).

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, 650559062 + ... + 650560938.

Almost surely, 2^{1221101120000} is an apocalyptic number.

1221101120000 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 1221101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620488715120).

1221101120000 is an abundant number, since it is smaller than the sum of its proper divisors (2019876310240).

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

1221101120000 is an equidigital number, since it uses as much as digits as its factorization.

1221101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1221101120000 its reverse (211011221), we get a palindrome (1221312131221).

The spelling of 1221101120000 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty thousand".