2120111400 has 192 divisors, whose sum is σ = 7224537600. Its totient is φ = 510048000.

The previous prime is 2120111393. The next prime is 2120111419. The reversal of 2120111400 is 41110212.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916245 + ... + 918555.

It is an arithmetic number, because the mean of its divisors is an integer number (37627800).

Almost surely, 2^2120111400 is an apocalyptic number.

2120111400 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 2120111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612268800).

2120111400 is an abundant number, since it is smaller than the sum of its proper divisors (5104426200).

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

2120111400 is a wasteful number, since it uses less digits than its factorization.

2120111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2120111400 is about 46044.6674436899. The cubic root of 2120111400 is about 1284.6541585710.

Adding to 2120111400 its reverse (41110212), we get a palindrome (2161221612).

The spelling of 2120111400 in words is "two billion, one hundred twenty million, one hundred eleven thousand, four hundred".