111312300510450 has 144 divisors (see below), whose sum is σ = 322430837621256. Its totient is φ = 27368706816000.

The previous prime is 111312300510443. The next prime is 111312300510461. The reversal of 111312300510450 is 54015003213111.

111312300510450 is a `hidden beast` number, since 1 + 1 + 1 + 312 + 300 + 5 + 1 + 0 + 45 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1071057336561 + 110241243173889 = 1034919^2 + 10499583^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5717751 + ... + 15978650.

Almost surely, 2^{111312300510450} is an apocalyptic number.

111312300510450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111312300510450 is an abundant number, since it is smaller than the sum of its proper divisors (211118537110806).

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

111312300510450 is a wasteful number, since it uses less digits than its factorization.

111312300510450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21697309 (or 21697301 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 111312300510450 its reverse (54015003213111), we get a palindrome (165327303723561).

The spelling of 111312300510450 in words is "one hundred eleven trillion, three hundred twelve billion, three hundred million, five hundred ten thousand, four hundred fifty".