1301022000 has 240 divisors, whose sum is σ = 4714094112. Its totient is φ = 346809600.

The previous prime is 1301021971. The next prime is 1301022031. The reversal of 1301022000 is 2201031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484662 + ... + 487338.

Almost surely, 2^1301022000 is an apocalyptic number.

1301022000 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 1301022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357047056).

1301022000 is an abundant number, since it is smaller than the sum of its proper divisors (3413072112).

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

1301022000 is an equidigital number, since it uses as much as digits as its factorization.

1301022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1301022000 is about 36069.6825602888. The cubic root of 1301022000 is about 1091.6788090511.

Adding to 1301022000 its reverse (2201031), we get a palindrome (1303223031).

The spelling of 1301022000 in words is "one billion, three hundred one million, twenty-two thousand".