1012141240 has 128 divisors (see below), whose sum is σ = 2687385600. Its totient is φ = 338913280.

The previous prime is 1012141231. The next prime is 1012141241. The reversal of 1012141240 is 421412101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012141241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350121 + ... + 352999.

It is an arithmetic number, because the mean of its divisors is an integer number (20995200).

Almost surely, 2^1012141240 is an apocalyptic number.

1012141240 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 1012141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343692800).

1012141240 is an abundant number, since it is smaller than the sum of its proper divisors (1675244360).

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

1012141240 is a wasteful number, since it uses less digits than its factorization.

1012141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1012141240 is about 31814.1672844033. The cubic root of 1012141240 is about 1004.0308107347.

Adding to 1012141240 its reverse (421412101), we get a palindrome (1433553341).

The spelling of 1012141240 in words is "one billion, twelve million, one hundred forty-one thousand, two hundred forty".