1012000240 has 80 divisors (see below), whose sum is σ = 2486090880. Its totient is φ = 382484480.

The previous prime is 1012000237. The next prime is 1012000267. The reversal of 1012000240 is 420002101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104400 + ... + 113680.

It is an arithmetic number, because the mean of its divisors is an integer number (31076136).

Almost surely, 2^1012000240 is an apocalyptic number.

1012000240 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 1012000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243045440).

1012000240 is an abundant number, since it is smaller than the sum of its proper divisors (1474090640).

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

1012000240 is a wasteful number, since it uses less digits than its factorization.

1012000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1012000240 is about 31811.9512133412. The cubic root of 1012000240 is about 1003.9841851871.

Adding to 1012000240 its reverse (420002101), we get a palindrome (1432002341).

The spelling of 1012000240 in words is "one billion, twelve million, two hundred forty", and thus it is an aban number.