112619030400 has 288 divisors, whose sum is σ = 416736738600. Its totient is φ = 30031534080.

The previous prime is 112619030371. The next prime is 112619030437. The reversal of 112619030400 is 4030916211.

112619030400 is a `hidden beast` number, since 1 + 1 + 2 + 619 + 0 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112619030400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 705186 + ... + 850014.

Almost surely, 2^112619030400 is an apocalyptic number.

112619030400 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 112619030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208368369300).

112619030400 is an abundant number, since it is smaller than the sum of its proper divisors (304117708200).

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

112619030400 is an equidigital number, since it uses as much as digits as its factorization.

112619030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144868 (or 144839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 112619030400 its reverse (4030916211), we get a palindrome (116649946611).

The spelling of 112619030400 in words is "one hundred twelve billion, six hundred nineteen million, thirty thousand, four hundred".