1022211221120 has 256 divisors, whose sum is σ = 2564329743360. Its totient is φ = 389173248000.

The previous prime is 1022211221117. The next prime is 1022211221147. The reversal of 1022211221120 is 211221122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667674755 + ... + 667676285.

It is an arithmetic number, because the mean of its divisors is an integer number (10016913060).

Almost surely, 2^{1022211221120} is an apocalyptic number.

1022211221120 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 1022211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282164871680).

1022211221120 is an abundant number, since it is smaller than the sum of its proper divisors (1542118522240).

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

1022211221120 is a wasteful number, since it uses less digits than its factorization.

1022211221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1022211221120 its reverse (211221122201), we get a palindrome (1233432343321).

The spelling of 1022211221120 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".