1221031020000 has 720 divisors, whose sum is σ = 4443819722496. Its totient is φ = 291043200000.

The previous prime is 1221031019993. The next prime is 1221031020059. The reversal of 1221031020000 is 201301221.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 3327059817 + ... + 3327060183.

Almost surely, 2^{1221031020000} is an apocalyptic number.

1221031020000 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 1221031020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221909861248).

1221031020000 is an abundant number, since it is smaller than the sum of its proper divisors (3222788702496).

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

1221031020000 is an equidigital number, since it uses as much as digits as its factorization.

1221031020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1221031020000 its reverse (201301221), we get a palindrome (1221232321221).

The spelling of 1221031020000 in words is "one trillion, two hundred twenty-one billion, thirty-one million, twenty thousand".