1022120544042 has 128 divisors (see below), whose sum is σ = 2553094494720. Its totient is φ = 300749137920.

The previous prime is 1022120544017. The next prime is 1022120544077. The reversal of 1022120544042 is 2404450212201.

It is a happy number.

1022120544042 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 0 + 5 + 440 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1022120543997 and 1022120544015.

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 63 ways as a sum of consecutive naturals, for example, 125240442 + ... + 125248602.

It is an arithmetic number, because the mean of its divisors is an integer number (19946050740).

Almost surely, 2^{1022120544042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120544042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276547247360).

1022120544042 is an abundant number, since it is smaller than the sum of its proper divisors (1530973950678).

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

1022120544042 is a wasteful number, since it uses less digits than its factorization.

1022120544042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15965 (or 15959 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1022120544042 its reverse (2404450212201), we get a palindrome (3426570756243).

The spelling of 1022120544042 in words is "one trillion, twenty-two billion, one hundred twenty million, five hundred forty-four thousand, forty-two".