1011240000 has 315 divisors, whose sum is σ = 3691640953. Its totient is φ = 264576000.

The previous prime is 1011239989. The next prime is 1011240001. The reversal of 1011240000 is 421101.

It is a happy number.

The square root of 1011240000 is 31800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 561121344 + 450118656 = 23688^2 + 21216^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011240001) 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 44 ways as a sum of consecutive naturals, for example, 19079974 + ... + 19080026.

Almost surely, 2^1011240000 is an apocalyptic number.

1011240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011240000 is the 31800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011240000

1011240000 is an abundant number, since it is smaller than the sum of its proper divisors (2680400953).

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

1011240000 is an frugal number, since it uses more digits than its factorization.

1011240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 1011240000 is about 1003.7327161605.

Adding to 1011240000 its reverse (421101), we get a palindrome (1011661101).

The spelling of 1011240000 in words is "one billion, eleven million, two hundred forty thousand".