1004121113420 has 96 divisors (see below), whose sum is σ = 2225044684800. Its totient is φ = 380107171584.

The previous prime is 1004121113419. The next prime is 1004121113533. The reversal of 1004121113420 is 243111214001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1004121113392 and 1004121113401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6031661 + ... + 6195899.

It is an arithmetic number, because the mean of its divisors is an integer number (23177548800).

Almost surely, 2^{1004121113420} is an apocalyptic number.

1004121113420 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 1004121113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112522342400).

1004121113420 is an abundant number, since it is smaller than the sum of its proper divisors (1220923571380).

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

1004121113420 is a wasteful number, since it uses less digits than its factorization.

1004121113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164487 (or 164485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1004121113420 its reverse (243111214001), we get a palindrome (1247232327421).

The spelling of 1004121113420 in words is "one trillion, four billion, one hundred twenty-one million, one hundred thirteen thousand, four hundred twenty".