1020424131220 has 48 divisors (see below), whose sum is σ = 2330577276048. Its totient is φ = 373041561600.

The previous prime is 1020424131191. The next prime is 1020424131241. The reversal of 1020424131220 is 221314240201.

It can be written as a sum of positive squares in 8 ways, for example, as 122027256976 + 898396874244 = 349324^2 + 947838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020424131191 and 1020424131200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19402989 + ... + 19455508.

It is an arithmetic number, because the mean of its divisors is an integer number (48553693251).

Almost surely, 2^{1020424131220} is an apocalyptic number.

1020424131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020424131220 is an abundant number, since it is smaller than the sum of its proper divisors (1310153144828).

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

1020424131220 is a wasteful number, since it uses less digits than its factorization.

1020424131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38858620 (or 38858618 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1020424131220 its reverse (221314240201), we get a palindrome (1241738371421).

The spelling of 1020424131220 in words is "one trillion, twenty billion, four hundred twenty-four million, one hundred thirty-one thousand, two hundred twenty".