1011312240 has 160 divisors (see below), whose sum is σ = 3318001920. Its totient is φ = 254103552.

The previous prime is 1011312223. The next prime is 1011312241. The reversal of 1011312240 is 422131101.

1011312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011312241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034632 + ... + 1035608.

It is an arithmetic number, because the mean of its divisors is an integer number (20737512).

Almost surely, 2^1011312240 is an apocalyptic number.

1011312240 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 1011312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659000960).

1011312240 is an abundant number, since it is smaller than the sum of its proper divisors (2306689680).

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

1011312240 is a wasteful number, since it uses less digits than its factorization.

1011312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1011312240 is about 31801.1358287719. The cubic root of 1011312240 is about 1003.7566168254.

Adding to 1011312240 its reverse (422131101), we get a palindrome (1433443341).

The spelling of 1011312240 in words is "one billion, eleven million, three hundred twelve thousand, two hundred forty".