1290202000 has 80 divisors (see below), whose sum is σ = 3162802032. Its totient is φ = 508953600.

The previous prime is 1290201959. The next prime is 1290202019. The reversal of 1290202000 is 2020921.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45805824 + 1244396176 = 6768^2 + 35276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141582 + ... + 150418.

Almost surely, 2^1290202000 is an apocalyptic number.

1290202000 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 1290202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581401016).

1290202000 is an abundant number, since it is smaller than the sum of its proper divisors (1872600032).

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

1290202000 is an equidigital number, since it uses as much as digits as its factorization.

1290202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1290202000 is about 35919.3819545938. The cubic root of 1290202000 is about 1088.6440508029.

Adding to 1290202000 its reverse (2020921), we get a palindrome (1292222921).

The spelling of 1290202000 in words is "one billion, two hundred ninety million, two hundred two thousand".