1000221221120 has 144 divisors (see below), whose sum is σ = 2627337323520. Its totient is φ = 361811558400.

The previous prime is 1000221221101. The next prime is 1000221221171. The reversal of 1000221221120 is 211221220001.

It is a junction number, because it is equal to n+sod(n) for n = 1000221221095 and 1000221221104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2503316 + ... + 2875244.

It is an arithmetic number, because the mean of its divisors is an integer number (18245398080).

Almost surely, 2^{1000221221120} is an apocalyptic number.

1000221221120 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 1000221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313668661760).

1000221221120 is an abundant number, since it is smaller than the sum of its proper divisors (1627116102400).

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

1000221221120 is a wasteful number, since it uses less digits than its factorization.

1000221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372152 (or 372138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000221221120 its reverse (211221220001), we get a palindrome (1211442441121).

The spelling of 1000221221120 in words is "one trillion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".