1126241000 has 96 divisors (see below), whose sum is σ = 2756262600. Its totient is φ = 430707200.

The previous prime is 1126240961. The next prime is 1126241021. The reversal of 1126241000 is 1426211.

It can be written as a sum of positive squares in 4 ways, for example, as 207302404 + 918938596 = 14398^2 + 30314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1126241000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 527936 + ... + 530064.

Almost surely, 2^1126241000 is an apocalyptic number.

1126241000 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 1126241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378131300).

1126241000 is an abundant number, since it is smaller than the sum of its proper divisors (1630021600).

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

1126241000 is a wasteful number, since it uses less digits than its factorization.

1126241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1126241000 is about 33559.5142992267. The cubic root of 1126241000 is about 1040.4241982550.

Adding to 1126241000 its reverse (1426211), we get a palindrome (1127667211).

The spelling of 1126241000 in words is "one billion, one hundred twenty-six million, two hundred forty-one thousand".