1032004123120 has 80 divisors (see below), whose sum is σ = 2528191355040. Its totient is φ = 390688607232.

The previous prime is 1032004123097. The next prime is 1032004123123. The reversal of 1032004123120 is 213214002301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032004123123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1204642 + ... + 1874878.

It is an arithmetic number, because the mean of its divisors is an integer number (31602391938).

Almost surely, 2^{1032004123120} is an apocalyptic number.

1032004123120 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 1032004123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264095677520).

1032004123120 is an abundant number, since it is smaller than the sum of its proper divisors (1496187231920).

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

1032004123120 is a wasteful number, since it uses less digits than its factorization.

1032004123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671282 (or 671276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1032004123120 its reverse (213214002301), we get a palindrome (1245218125421).

The spelling of 1032004123120 in words is "one trillion, thirty-two billion, four million, one hundred twenty-three thousand, one hundred twenty".