1022120101200 has 960 divisors, whose sum is σ = 4030184908800. Its totient is φ = 218424729600.

The previous prime is 1022120101187. The next prime is 1022120101201. The reversal of 1022120101200 is 21010212201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120101201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213428406 + ... + 213433194.

It is an arithmetic number, because the mean of its divisors is an integer number (4198109280).

Almost surely, 2^{1022120101200} is an apocalyptic number.

1022120101200 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 1022120101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015092454400).

1022120101200 is an abundant number, since it is smaller than the sum of its proper divisors (3008064807600).

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

1022120101200 is a wasteful number, since it uses less digits than its factorization.

1022120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4889 counting only the distinct ones).

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

Adding to 1022120101200 its reverse (21010212201), we get a palindrome (1043130313401).

The spelling of 1022120101200 in words is "one trillion, twenty-two billion, one hundred twenty million, one hundred one thousand, two hundred".