2120233000 has 64 divisors (see below), whose sum is σ = 5082451920. Its totient is φ = 827392000.

The previous prime is 2120232977. The next prime is 2120233001. The reversal of 2120233000 is 3320212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 2119865764 = 606^2 + 46042^2 .

It is not an unprimeable number, because it can be changed into a prime (2120233001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15144 + ... + 66856.

Almost surely, 2^2120233000 is an apocalyptic number.

2120233000 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 2120233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541225960).

2120233000 is an abundant number, since it is smaller than the sum of its proper divisors (2962218920).

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

2120233000 is a wasteful number, since it uses less digits than its factorization.

2120233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51775 (or 51761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2120233000 is about 46045.9878816819. The cubic root of 2120233000 is about 1284.6787187520.

Adding to 2120233000 its reverse (3320212), we get a palindrome (2123553212).

The spelling of 2120233000 in words is "two billion, one hundred twenty million, two hundred thirty-three thousand".