1100123140 has 48 divisors (see below), whose sum is σ = 2350282032. Its totient is φ = 432470016.

The previous prime is 1100123117. The next prime is 1100123147. The reversal of 1100123140 is 413210011.

It can be written as a sum of positive squares in 8 ways, for example, as 138627076 + 961496064 = 11774^2 + 31008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1100123140.

It is not an unprimeable number, because it can be changed into a prime (1100123147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461632 + ... + 464008.

It is an arithmetic number, because the mean of its divisors is an integer number (48964209).

Almost surely, 2^1100123140 is an apocalyptic number.

1100123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100123140 is an abundant number, since it is smaller than the sum of its proper divisors (1250158892).

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

1100123140 is a wasteful number, since it uses less digits than its factorization.

1100123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1100123140 is about 33168.1042569514. The cubic root of 1100123140 is about 1032.3186337080.

Adding to 1100123140 its reverse (413210011), we get a palindrome (1513333151).

The spelling of 1100123140 in words is "one billion, one hundred million, one hundred twenty-three thousand, one hundred forty".