112419054720 has 768 divisors, whose sum is σ = 466880993280. Its totient is φ = 24383324160.

The previous prime is 112419054679. The next prime is 112419054739. The reversal of 112419054720 is 27450914211.

112419054720 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 90 + 547 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66244912 + ... + 66246608.

It is an arithmetic number, because the mean of its divisors is an integer number (607917960).

Almost surely, 2^112419054720 is an apocalyptic number.

112419054720 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 112419054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233440496640).

112419054720 is an abundant number, since it is smaller than the sum of its proper divisors (354461938560).

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

112419054720 is a wasteful number, since it uses less digits than its factorization.

112419054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 112419054720 its reverse (27450914211), we get a palindrome (139869968931).

The spelling of 112419054720 in words is "one hundred twelve billion, four hundred nineteen million, fifty-four thousand, seven hundred twenty".