1020224415300 has 144 divisors (see below), whose sum is σ = 3133872669312. Its totient is φ = 255369369600.

The previous prime is 1020224415239. The next prime is 1020224415347. The reversal of 1020224415300 is 35144220201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634145 + ... + 2170455.

It is an arithmetic number, because the mean of its divisors is an integer number (21763004648).

Almost surely, 2^{1020224415300} is an apocalyptic number.

1020224415300 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 1020224415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566936334656).

1020224415300 is an abundant number, since it is smaller than the sum of its proper divisors (2113648254012).

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

1020224415300 is a wasteful number, since it uses less digits than its factorization.

1020224415300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536718 (or 536711 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1020224415300 its reverse (35144220201), we get a palindrome (1055368635501).

The spelling of 1020224415300 in words is "one trillion, twenty billion, two hundred twenty-four million, four hundred fifteen thousand, three hundred".