2132123200 has 84 divisors (see below), whose sum is σ = 5262099712. Its totient is φ = 850291200.

The previous prime is 2132123197. The next prime is 2132123233. The reversal of 2132123200 is 23212312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585385 + ... + 589015.

Almost surely, 2^2132123200 is an apocalyptic number.

2132123200 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 2132123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631049856).

2132123200 is an abundant number, since it is smaller than the sum of its proper divisors (3129976512).

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

2132123200 is a wasteful number, since it uses less digits than its factorization.

2132123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2132123200 is about 46174.9195992803. The cubic root of 2132123200 is about 1287.0757228333.

Adding to 2132123200 its reverse (23212312), we get a palindrome (2155335512).

It can be divided in two parts, 21321 and 23200, that added together give a square (44521 = 211²).

The spelling of 2132123200 in words is "two billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred".