1022112311220 has 1152 divisors, whose sum is σ = 4309953822720. Its totient is φ = 189206876160.

The previous prime is 1022112311201. The next prime is 1022112311221. The reversal of 1022112311220 is 221132112201.

1022112311220 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 231 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022112311193 and 1022112311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 926665189 + ... + 926666291.

It is an arithmetic number, because the mean of its divisors is an integer number (3741279360).

Almost surely, 2^{1022112311220} is an apocalyptic number.

1022112311220 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 1022112311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154976911360).

1022112311220 is an abundant number, since it is smaller than the sum of its proper divisors (3287841511500).

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

1022112311220 is a wasteful number, since it uses less digits than its factorization.

1022112311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1022112311220 its reverse (221132112201), we get a palindrome (1243244423421).

The spelling of 1022112311220 in words is "one trillion, twenty-two billion, one hundred twelve million, three hundred eleven thousand, two hundred twenty".