220112723844720 has 800 divisors, whose sum is σ = 906712876840320. Its totient is φ = 48421313740800.

The previous prime is 220112723844719. The next prime is 220112723844781. The reversal of 220112723844720 is 27448327211022.

220112723844720 is a `hidden beast` number, since 2 + 2 + 0 + 112 + 72 + 3 + 8 + 447 + 20 = 666.

220112723844720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220112723844720² (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 411465420 + ... + 412000020.

Almost surely, 2^{220112723844720} is an apocalyptic number.

220112723844720 is a gapful number since it is divisible by the number (20) 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 220112723844720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453356438420160).

220112723844720 is an abundant number, since it is smaller than the sum of its proper divisors (686600152995600).

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

220112723844720 is a wasteful number, since it uses less digits than its factorization.

220112723844720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534975 (or 534960 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 220112723844720 in words is "two hundred twenty trillion, one hundred twelve billion, seven hundred twenty-three million, eight hundred forty-four thousand, seven hundred twenty".