1022221031200 has 144 divisors (see below), whose sum is σ = 2504352539304. Its totient is φ = 407440179200.

The previous prime is 1022221031179. The next prime is 1022221031201. The reversal of 1022221031200 is 21301222201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15578035344 + 1006642995856 = 124812^2 + 1003316^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1022221031201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360316182 + ... + 360319018.

Almost surely, 2^{1022221031200} is an apocalyptic number.

1022221031200 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 1022221031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252176269652).

1022221031200 is an abundant number, since it is smaller than the sum of its proper divisors (1482131508104).

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

1022221031200 is a wasteful number, since it uses less digits than its factorization.

1022221031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1022221031200 its reverse (21301222201), we get a palindrome (1043522253401).

The spelling of 1022221031200 in words is "one trillion, twenty-two billion, two hundred twenty-one million, thirty-one thousand, two hundred".