111012304242400 has 144 divisors (see below), whose sum is σ = 295745597476560. Its totient is φ = 40354504601600.

The previous prime is 111012304242391. The next prime is 111012304242443. The reversal of 111012304242400 is 4242403210111.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 24002742 + ... + 28251658.

It is an arithmetic number, because the mean of its divisors is an integer number (2053788871365).

Almost surely, 2^{111012304242400} is an apocalyptic number.

111012304242400 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 111012304242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147872798738280).

111012304242400 is an abundant number, since it is smaller than the sum of its proper divisors (184733293234160).

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

111012304242400 is a wasteful number, since it uses less digits than its factorization.

111012304242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251917 (or 4251904 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 111012304242400 its reverse (4242403210111), we get a palindrome (115254707452511).

The spelling of 111012304242400 in words is "one hundred eleven trillion, twelve billion, three hundred four million, two hundred forty-two thousand, four hundred".