1022120013000 has 128 divisors (see below), whose sum is σ = 3189395139840. Its totient is φ = 272532800000.

The previous prime is 1022120012971. The next prime is 1022120013001. The reversal of 1022120013000 is 3100212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1022120013001) 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 31 ways as a sum of consecutive naturals, for example, 35388565 + ... + 35417435.

It is an arithmetic number, because the mean of its divisors is an integer number (24917149530).

Almost surely, 2^{1022120013000} is an apocalyptic number.

1022120013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120013000 is an abundant number, since it is smaller than the sum of its proper divisors (2167275126840).

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

1022120013000 is a wasteful number, since it uses less digits than its factorization.

1022120013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40696 (or 40682 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1022120013000 its reverse (3100212201), we get a palindrome (1025220225201).

The spelling of 1022120013000 in words is "one trillion, twenty-two billion, one hundred twenty million, thirteen thousand".