1002265120 has 48 divisors (see below), whose sum is σ = 2381604120. Its totient is φ = 398577664.

The previous prime is 1002265109. The next prime is 1002265133. The reversal of 1002265120 is 215622001.

It can be written as a sum of positive squares in 4 ways, for example, as 848207376 + 154057744 = 29124^2 + 12412^2 .

It is a super-2 number, since 2×1002265120² = 2009070741537228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9576 + ... + 45784.

Almost surely, 2^1002265120 is an apocalyptic number.

1002265120 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 1002265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190802060).

1002265120 is an abundant number, since it is smaller than the sum of its proper divisors (1379339000).

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

1002265120 is a wasteful number, since it uses less digits than its factorization.

1002265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36397 (or 36389 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1002265120 is about 31658.5710353452. The cubic root of 1002265120 is about 1000.7544706309.

Adding to 1002265120 its reverse (215622001), we get a palindrome (1217887121).

The spelling of 1002265120 in words is "one billion, two million, two hundred sixty-five thousand, one hundred twenty".