1112190206400 has 2016 divisors, whose sum is σ = 5053937860608. Its totient is φ = 225740390400.

The previous prime is 1112190206399. The next prime is 1112190206417. The reversal of 1112190206400 is 46020912111.

1112190206400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 19 + 0 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×1112190206400³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6823252719 + ... + 6823252881.

Almost surely, 2^{1112190206400} is an apocalyptic number.

1112190206400 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 1112190206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526968930304).

1112190206400 is an abundant number, since it is smaller than the sum of its proper divisors (3941747654208).

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

1112190206400 is a wasteful number, since it uses less digits than its factorization.

1112190206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1112190206400 in words is "one trillion, one hundred twelve billion, one hundred ninety million, two hundred six thousand, four hundred".