2111124400 has 120 divisors (see below), whose sum is σ = 6323595264. Its totient is φ = 658003200.

The previous prime is 2111124349. The next prime is 2111124401. The reversal of 2111124400 is 44211112.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2111124401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3472 + ... + 65071.

Almost surely, 2^2111124400 is an apocalyptic number.

2111124400 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 2111124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161797632).

2111124400 is an abundant number, since it is smaller than the sum of its proper divisors (4212470864).

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

2111124400 is a wasteful number, since it uses less digits than its factorization.

2111124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68579 (or 68568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2111124400 is about 45946.9737850057. The cubic root of 2111124400 is about 1282.8364021202.

Adding to 2111124400 its reverse (44211112), we get a palindrome (2155335512).

It can be divided in two parts, 211112 and 4400, that added together give a palindrome (215512).

The spelling of 2111124400 in words is "two billion, one hundred eleven million, one hundred twenty-four thousand, four hundred".