112419544204800 has 960 divisors, whose sum is σ = 471978337881600. Its totient is φ = 25674308812800.

The previous prime is 112419544204787. The next prime is 112419544204861. The reversal of 112419544204800 is 8402445914211.

112419544204800 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 9 + 544 + 20 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2973177895 + ... + 2973215705.

It is an arithmetic number, because the mean of its divisors is an integer number (491644101960).

Almost surely, 2^{112419544204800} is an apocalyptic number.

112419544204800 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 112419544204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235989168940800).

112419544204800 is an abundant number, since it is smaller than the sum of its proper divisors (359558793676800).

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

112419544204800 is a wasteful number, since it uses less digits than its factorization.

112419544204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39084 (or 39057 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 112419544204800 in words is "one hundred twelve trillion, four hundred nineteen billion, five hundred forty-four million, two hundred four thousand, eight hundred".