1020420012304 has 160 divisors (see below), whose sum is σ = 2551998090240. Its totient is φ = 383542387200.

The previous prime is 1020420012281. The next prime is 1020420012317. The reversal of 1020420012304 is 4032100240201.

1020420012304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020420012304² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46113787 + ... + 46135909.

It is an arithmetic number, because the mean of its divisors is an integer number (15949988064).

Almost surely, 2^{1020420012304} is an apocalyptic number.

1020420012304 is a gapful number since it is divisible by the number (14) 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 1020420012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275999045120).

1020420012304 is an abundant number, since it is smaller than the sum of its proper divisors (1531578077936).

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

1020420012304 is a wasteful number, since it uses less digits than its factorization.

1020420012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23469 (or 23463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1020420012304 its reverse (4032100240201), we get a palindrome (5052520252505).

The spelling of 1020420012304 in words is "one trillion, twenty billion, four hundred twenty million, twelve thousand, three hundred four".