1012440000 has 560 divisors, whose sum is σ = 3999219840. Its totient is φ = 222720000.

The previous prime is 1012439963. The next prime is 1012440017. The reversal of 1012440000 is 442101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17159971 + ... + 17160029.

It is an arithmetic number, because the mean of its divisors is an integer number (7141464).

Almost surely, 2^1012440000 is an apocalyptic number.

1012440000 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 1012440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999609920).

1012440000 is an abundant number, since it is smaller than the sum of its proper divisors (2986779840).

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

1012440000 is a wasteful number, since it uses less digits than its factorization.

1012440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1012440000 is about 31818.8623303851. The cubic root of 1012440000 is about 1004.1295896811.

Adding to 1012440000 its reverse (442101), we get a palindrome (1012882101).

The spelling of 1012440000 in words is "one billion, twelve million, four hundred forty thousand".