1011123360 has 144 divisors (see below), whose sum is σ = 3715947144. Its totient is φ = 248887296.

The previous prime is 1011123359. The next prime is 1011123389. The reversal of 1011123360 is 633211101.

It can be written as a sum of positive squares in 4 ways, for example, as 388720656 + 622402704 = 19716^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8287 + ... + 45726.

Almost surely, 2^1011123360 is an apocalyptic number.

1011123360 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 1011123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857973572).

1011123360 is an abundant number, since it is smaller than the sum of its proper divisors (2704823784).

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

1011123360 is a wasteful number, since it uses less digits than its factorization.

1011123360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54047 (or 54036 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1011123360 is about 31798.1659848489. The cubic root of 1011123360 is about 1003.6941233156.

Adding to 1011123360 its reverse (633211101), we get a palindrome (1644334461).

The spelling of 1011123360 in words is "one billion, eleven million, one hundred twenty-three thousand, three hundred sixty".