1022130033120 has 144 divisors (see below), whose sum is σ = 3986307168480. Its totient is φ = 233629719552.

The previous prime is 1022130033097. The next prime is 1022130033151. The reversal of 1022130033120 is 213300312201.

1022130033120 is a `hidden beast` number, since 10 + 2 + 2 + 1 + 300 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1022130033093 and 1022130033102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50690815 + ... + 50710974.

It is an arithmetic number, because the mean of its divisors is an integer number (27682688670).

Almost surely, 2^{1022130033120} is an apocalyptic number.

1022130033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022130033120 is an abundant number, since it is smaller than the sum of its proper divisors (2964177135360).

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

1022130033120 is a wasteful number, since it uses less digits than its factorization.

1022130033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101401817 (or 101401806 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022130033120 its reverse (213300312201), we get a palindrome (1235430345321).

The spelling of 1022130033120 in words is "one trillion, twenty-two billion, one hundred thirty million, thirty-three thousand, one hundred twenty".