1121112110400 has 336 divisors, whose sum is σ = 4063880502144. Its totient is φ = 269142917120.

The previous prime is 1121112110369. The next prime is 1121112110513. The reversal of 1121112110400 is 40112111211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121112110400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1578124 + ... + 2175476.

Almost surely, 2^{1121112110400} is an apocalyptic number.

1121112110400 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 1121112110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031940251072).

1121112110400 is an abundant number, since it is smaller than the sum of its proper divisors (2942768391744).

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

1121112110400 is a wasteful number, since it uses less digits than its factorization.

1121112110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597418 (or 597403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121112110400 its reverse (40112111211), we get a palindrome (1161224221611).

The spelling of 1121112110400 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred ten thousand, four hundred".