2001120000 has 360 divisors, whose sum is σ = 7279419840. Its totient is φ = 483840000.

The previous prime is 2001119999. The next prime is 2001120001. The reversal of 2001120000 is 211002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001119999) and next prime (2001120001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2001120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279811 + ... + 5280189.

Almost surely, 2^2001120000 is an apocalyptic number.

2001120000 is a gapful number since it is divisible by the number (20) 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 2001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639709920).

2001120000 is an abundant number, since it is smaller than the sum of its proper divisors (5278299840).

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

2001120000 is an equidigital number, since it uses as much as digits as its factorization.

2001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001120000 is about 44733.8797780832. The cubic root of 2001120000 is about 1260.1561912699.

Adding to 2001120000 its reverse (211002), we get a palindrome (2001331002).

The spelling of 2001120000 in words is "two billion, one million, one hundred twenty thousand".