1112008100400 has 480 divisors, whose sum is σ = 4202666726400. Its totient is φ = 278298316800.

The previous prime is 1112008100377. The next prime is 1112008100429. The reversal of 1112008100400 is 40018002111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65903965 + ... + 65920835.

It is an arithmetic number, because the mean of its divisors is an integer number (8755555680).

Almost surely, 2^{1112008100400} is an apocalyptic number.

1112008100400 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 1112008100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101333363200).

1112008100400 is an abundant number, since it is smaller than the sum of its proper divisors (3090658626000).

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

1112008100400 is a wasteful number, since it uses less digits than its factorization.

1112008100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17274 (or 17257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 1112008100400 in words is "one trillion, one hundred twelve billion, eight million, one hundred thousand, four hundred".