2120133600 has 216 divisors, whose sum is σ = 8051562792. Its totient is φ = 521856000.

The previous prime is 2120133599. The next prime is 2120133647. The reversal of 2120133600 is 63310212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 82275 + ... + 104925.

Almost surely, 2^2120133600 is an apocalyptic number.

2120133600 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 2120133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025781396).

2120133600 is an abundant number, since it is smaller than the sum of its proper divisors (5931429192).

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

2120133600 is a wasteful number, since it uses less digits than its factorization.

2120133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 22674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2120133600 is about 46044.9085133199. The cubic root of 2120133600 is about 1284.6586424899.

Adding to 2120133600 its reverse (63310212), we get a palindrome (2183443812).

The spelling of 2120133600 in words is "two billion, one hundred twenty million, one hundred thirty-three thousand, six hundred".