244505106120 has 128 divisors (see below), whose sum is σ = 803027312640. Its totient is φ = 59064426240.

The previous prime is 244505106103. The next prime is 244505106127. The reversal of 244505106120 is 21601505442.

It is a super-2 number, since 2×244505106120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (244505106127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46297 + ... + 700823.

It is an arithmetic number, because the mean of its divisors is an integer number (6273650880).

Almost surely, 2^244505106120 is an apocalyptic number.

244505106120 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 244505106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401513656320).

244505106120 is an abundant number, since it is smaller than the sum of its proper divisors (558522206520).

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

244505106120 is a wasteful number, since it uses less digits than its factorization.

244505106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654835 (or 654831 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 244505106120 in words is "two hundred forty-four billion, five hundred five million, one hundred six thousand, one hundred twenty".