2120112400 has 180 divisors, whose sum is σ = 6184104192. Its totient is φ = 695143680.

The previous prime is 2120112389. The next prime is 2120112439. The reversal of 2120112400 is 42110212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 448449 + ... + 453151.

Almost surely, 2^2120112400 is an apocalyptic number.

2120112400 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 2120112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092052096).

2120112400 is an abundant number, since it is smaller than the sum of its proper divisors (4063991792).

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

2120112400 is a wasteful number, since it uses less digits than its factorization.

2120112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2120112400 is about 46044.6783027094. The cubic root of 2120112400 is about 1284.6543605500.

Adding to 2120112400 its reverse (42110212), we get a palindrome (2162222612).

The spelling of 2120112400 in words is "two billion, one hundred twenty million, one hundred twelve thousand, four hundred".