1012242560 has 128 divisors (see below), whose sum is σ = 2928493440. Its totient is φ = 326615040.

The previous prime is 1012242541. The next prime is 1012242617. The reversal of 1012242560 is 652422101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 69515 + ... + 82805.

It is an arithmetic number, because the mean of its divisors is an integer number (22878855).

Almost surely, 2^1012242560 is an apocalyptic number.

1012242560 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 1012242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464246720).

1012242560 is an abundant number, since it is smaller than the sum of its proper divisors (1916250880).

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

1012242560 is a wasteful number, since it uses less digits than its factorization.

1012242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334 (or 13322 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1012242560 is about 31815.7596168943. The cubic root of 1012242560 is about 1004.0643123197.

Adding to 1012242560 its reverse (652422101), we get a palindrome (1664664661).

The spelling of 1012242560 in words is "one billion, twelve million, two hundred forty-two thousand, five hundred sixty".