111042212400 has 270 divisors, whose sum is σ = 448261882692. Its totient is φ = 25381036800.

The previous prime is 111042212389. The next prime is 111042212473. The reversal of 111042212400 is 4212240111.

111042212400 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 422 + 1 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 138346 + ... + 491145.

Almost surely, 2^111042212400 is an apocalyptic number.

111042212400 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 111042212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224130941346).

111042212400 is an abundant number, since it is smaller than the sum of its proper divisors (337219670292).

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

111042212400 is a wasteful number, since it uses less digits than its factorization.

111042212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629529 (or 629508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111042212400 its reverse (4212240111), we get a palindrome (115254452511).

The spelling of 111042212400 in words is "one hundred eleven billion, forty-two million, two hundred twelve thousand, four hundred".