1032122211120 has 800 divisors, whose sum is σ = 4813071943680. Its totient is φ = 197968250880.

The previous prime is 1032122210957. The next prime is 1032122211139. The reversal of 1032122211120 is 211122212301.

1032122211120 is a `hidden beast` number, since 1 + 0 + 321 + 2 + 221 + 1 + 120 = 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 = 1032122211093 and 1032122211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6406921 + ... + 6566039.

Almost surely, 2^{1032122211120} is an apocalyptic number.

1032122211120 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 1032122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406535971840).

1032122211120 is an abundant number, since it is smaller than the sum of its proper divisors (3780949732560).

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

1032122211120 is a wasteful number, since it uses less digits than its factorization.

1032122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159175 (or 159160 counting only the distinct ones).

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

Adding to 1032122211120 its reverse (211122212301), we get a palindrome (1243244423421).

The spelling of 1032122211120 in words is "one trillion, thirty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".