1221102120000 has 1120 divisors, whose sum is σ = 4797921173760. Its totient is φ = 268185600000.

The previous prime is 1221102119981. The next prime is 1221102120083. The reversal of 1221102120000 is 212011221.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 3139079806 + ... + 3139080194.

Almost surely, 2^{1221102120000} is an apocalyptic number.

1221102120000 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 1221102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398960586880).

1221102120000 is an abundant number, since it is smaller than the sum of its proper divisors (3576819053760).

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

1221102120000 is a wasteful number, since it uses less digits than its factorization.

1221102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221102120000 its reverse (212011221), we get a palindrome (1221314131221).

The spelling of 1221102120000 in words is "one trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty thousand".