112773406720000 has 340 divisors, whose sum is σ = 303522669202060. Its totient is φ = 41639215104000.

The previous prime is 112773406719997. The next prime is 112773406720019. The reversal of 112773406720000 is 27604377211.

It can be written as a sum of positive squares in 10 ways, for example, as 76707328425984 + 36066078294016 = 8758272^2 + 6005504^2 .

It is a super-3 number, since 3×112773406720000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532374106 + ... + 532585894.

Almost surely, 2^{112773406720000} is an apocalyptic number.

112773406720000 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 112773406720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151761334601030).

112773406720000 is an abundant number, since it is smaller than the sum of its proper divisors (190749262482060).

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

112773406720000 is an frugal number, since it uses more digits than its factorization.

112773406720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211854 (or 211809 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 112773406720000 in words is "one hundred twelve trillion, seven hundred seventy-three billion, four hundred six million, seven hundred twenty thousand".