1022200112120 has 128 divisors (see below), whose sum is σ = 2681001892800. Its totient is φ = 346634035200.

The previous prime is 1022200112093. The next prime is 1022200112147. The reversal of 1022200112120 is 212110022201.

It is an interprime number because it is at equal distance from previous prime (1022200112093) and next prime (1022200112147).

It is a junction number, because it is equal to n+sod(n) for n = 1022200112095 and 1022200112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188450 + ... + 1442190.

Almost surely, 2^{1022200112120} is an apocalyptic number.

1022200112120 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 1022200112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340500946400).

1022200112120 is an abundant number, since it is smaller than the sum of its proper divisors (1658801780680).

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

1022200112120 is a wasteful number, since it uses less digits than its factorization.

1022200112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253889 (or 1253885 counting only the distinct ones).

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

Adding to 1022200112120 its reverse (212110022201), we get a palindrome (1234310134321).

The spelling of 1022200112120 in words is "one trillion, twenty-two billion, two hundred million, one hundred twelve thousand, one hundred twenty".