1124112400 has 120 divisors (see below), whose sum is σ = 2767472424. Its totient is φ = 438681600.

The previous prime is 1124112397. The next prime is 1124112401. The reversal of 1124112400 is 42114211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 144672784 + 979439616 = 12028^2 + 31296^2 .

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 (1124112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000260 + ... + 4000540.

Almost surely, 2^1124112400 is an apocalyptic number.

1124112400 is a gapful number since it is divisible by the number (10) 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 1124112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383736212).

1124112400 is an abundant number, since it is smaller than the sum of its proper divisors (1643360024).

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

1124112400 is a wasteful number, since it uses less digits than its factorization.

1124112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

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

The square root of 1124112400 is about 33527.7854920363. The cubic root of 1124112400 is about 1039.7683162411.

Adding to 1124112400 its reverse (42114211), we get a palindrome (1166226611).

It can be divided in two parts, 1124 and 112400, that multiplied together give a square (126337600 = 11240²).

The spelling of 1124112400 in words is "one billion, one hundred twenty-four million, one hundred twelve thousand, four hundred".