9001020000 has 480 divisors, whose sum is σ = 34953811200. Its totient is φ = 1983744000.

The previous prime is 9001019981. The next prime is 9001020001. The reversal of 9001020000 is 201009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×9001020000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12179631 + ... + 12180369.

It is an arithmetic number, because the mean of its divisors is an integer number (72820440).

Almost surely, 2^9001020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476905600).

9001020000 is an abundant number, since it is smaller than the sum of its proper divisors (25952791200).

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

9001020000 is a wasteful number, since it uses less digits than its factorization.

9001020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 9001020000 is about 94873.7055247659. The cubic root of 9001020000 is about 2080.1624010279.

Adding to 9001020000 its reverse (201009), we get a palindrome (9001221009).

The spelling of 9001020000 in words is "nine billion, one million, twenty thousand".