220124120040 has 192 divisors, whose sum is σ = 784404466560. Its totient is φ = 53092354560.

The previous prime is 220124120023. The next prime is 220124120089. The reversal of 220124120040 is 40021421022.

220124120040 is a `hidden beast` number, since 220 + 1 + 241 + 200 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220124119995 and 220124120022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639037 + ... + 921203.

It is an arithmetic number, because the mean of its divisors is an integer number (4085439930).

Almost surely, 2^220124120040 is an apocalyptic number.

220124120040 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 220124120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392202233280).

220124120040 is an abundant number, since it is smaller than the sum of its proper divisors (564280346520).

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

220124120040 is a wasteful number, since it uses less digits than its factorization.

220124120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282392 (or 282385 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220124120040 its reverse (40021421022), we get a palindrome (260145541062).

The spelling of 220124120040 in words is "two hundred twenty billion, one hundred twenty-four million, one hundred twenty thousand, forty".