1020404120 has 64 divisors (see below), whose sum is σ = 2422656000. Its totient is φ = 385734528.

The previous prime is 1020404113. The next prime is 1020404191. The reversal of 1020404120 is 214040201.

It is a super-2 number, since 2×1020404120² = 2082449136225948800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020404095 and 1020404104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362639 + ... + 365441.

It is an arithmetic number, because the mean of its divisors is an integer number (37854000).

Almost surely, 2^1020404120 is an apocalyptic number.

1020404120 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 1020404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211328000).

1020404120 is an abundant number, since it is smaller than the sum of its proper divisors (1402251880).

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

1020404120 is a wasteful number, since it uses less digits than its factorization.

1020404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1020404120 is about 31943.7649628218. The cubic root of 1020404120 is about 1006.7556319972.

Adding to 1020404120 its reverse (214040201), we get a palindrome (1234444321).

The spelling of 1020404120 in words is "one billion, twenty million, four hundred four thousand, one hundred twenty".