2002123200 has 336 divisors, whose sum is σ = 8190975744. Its totient is φ = 415948800.

The previous prime is 2002123183. The next prime is 2002123217. The reversal of 2002123200 is 23212002.

It is an interprime number because it is at equal distance from previous prime (2002123183) and next prime (2002123217).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366892 + ... + 372308.

It is an arithmetic number, because the mean of its divisors is an integer number (24377904).

Almost surely, 2^2002123200 is an apocalyptic number.

2002123200 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 2002123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095487872).

2002123200 is an abundant number, since it is smaller than the sum of its proper divisors (6188852544).

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

2002123200 is a wasteful number, since it uses less digits than its factorization.

2002123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002123200 is about 44745.0913508957. The cubic root of 2002123200 is about 1260.3667362807.

Adding to 2002123200 its reverse (23212002), we get a palindrome (2025335202).

The spelling of 2002123200 in words is "two billion, two million, one hundred twenty-three thousand, two hundred".