2032123000 has 64 divisors (see below), whose sum is σ = 4761900000. Its totient is φ = 811699200.

The previous prime is 2032122977. The next prime is 2032123007. The reversal of 2032123000 is 3212302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032123007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248187 + ... + 1249813.

Almost surely, 2^2032123000 is an apocalyptic number.

2032123000 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 2032123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380950000).

2032123000 is an abundant number, since it is smaller than the sum of its proper divisors (2729777000).

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

2032123000 is a wasteful number, since it uses less digits than its factorization.

2032123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2883 counting only the distinct ones).

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

The square root of 2032123000 is about 45079.0749683265. The cubic root of 2032123000 is about 1266.6306622576.

Adding to 2032123000 its reverse (3212302), we get a palindrome (2035335302).

The spelling of 2032123000 in words is "two billion, thirty-two million, one hundred twenty-three thousand".