1124260900 has 81 divisors (see below), whose sum is σ = 2843892849. Its totient is φ = 384656160.

The previous prime is 1124260889. The next prime is 1124260901. The reversal of 1124260900 is 90624211.

The square root of 1124260900 is 33530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 404733924 + 719526976 = 20118^2 + 26824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1124260901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2346861 + ... + 2347339.

Almost surely, 2^1124260900 is an apocalyptic number.

1124260900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1124260900 is the 33530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124260900

1124260900 is an abundant number, since it is smaller than the sum of its proper divisors (1719631949).

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

1124260900 is an equidigital number, since it uses as much as digits as its factorization.

1124260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 1124260900 is about 1039.8141001551.

Multiplying 1124260900 by its sum of digits (25), we get a square (28106522500 = 167650²).

1124260900 divided by its sum of digits (25) gives a square (44970436 = 6706²).

The spelling of 1124260900 in words is "one billion, one hundred twenty-four million, two hundred sixty thousand, nine hundred".